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Finding the Fourth Proportional to 1,117.18, 1,542.27 and 744.76

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Solution

The fourth proportional to 1,117.18, 1,542.27 and 744.76 is: 1,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.18 : 1,542.27 = 744.76 : x
  2. Step 2: Convert to fraction form
    1,117.18/1,542.27 = 744.76/x
  3. Step 3: Cross multiply
    1,117.18x = 1,542.27 × 744.76
  4. Step 4: Simplify right side
    1,117.18x = 1,148,621.01
  5. Step 5: Solve for x
    x = 1,148,621.01/1,117.18
  6. Step 6: Final answer
    x = 1,028.14

Related Problems

Find fourth proportional to 558.59, 771.14 and 372.38
Half scale
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Double scale
Find fourth proportional to 1,118.18, 1,543.65 and 745.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.