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Finding the Fourth Proportional to 702.69, 1,053.24 and 425.13

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Solution

The fourth proportional to 702.69, 1,053.24 and 425.13 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.69 : 1,053.24 = 425.13 : x
  2. Step 2: Convert to fraction form
    702.69/1,053.24 = 425.13/x
  3. Step 3: Cross multiply
    702.69x = 1,053.24 × 425.13
  4. Step 4: Simplify right side
    702.69x = 447,763.92
  5. Step 5: Solve for x
    x = 447,763.92/702.69
  6. Step 6: Final answer
    x = 637.21

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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.