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Finding the Fourth Proportional to 1,262.75, 1,742.84 and 710.75

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Solution

The fourth proportional to 1,262.75, 1,742.84 and 710.75 is: 980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.75 : 1,742.84 = 710.75 : x
  2. Step 2: Convert to fraction form
    1,262.75/1,742.84 = 710.75/x
  3. Step 3: Cross multiply
    1,262.75x = 1,742.84 × 710.75
  4. Step 4: Simplify right side
    1,262.75x = 1,238,723.53
  5. Step 5: Solve for x
    x = 1,238,723.53/1,262.75
  6. Step 6: Final answer
    x = 980.97

Related Problems

Find fourth proportional to 631.38, 871.42 and 355.38
Half scale
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Double scale
Find fourth proportional to 1,263.75, 1,744.22 and 711.75
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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.