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Finding the Fourth Proportional to 1,220.23, 1,829.53 and 734.23

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Solution

The fourth proportional to 1,220.23, 1,829.53 and 734.23 is: 1,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.23 : 1,829.53 = 734.23 : x
  2. Step 2: Convert to fraction form
    1,220.23/1,829.53 = 734.23/x
  3. Step 3: Cross multiply
    1,220.23x = 1,829.53 × 734.23
  4. Step 4: Simplify right side
    1,220.23x = 1,343,295.81
  5. Step 5: Solve for x
    x = 1,343,295.81/1,220.23
  6. Step 6: Final answer
    x = 1,100.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.