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Finding the Fourth Proportional to 702.18, 1,057.23 and 487.17

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Solution

The fourth proportional to 702.18, 1,057.23 and 487.17 is: 733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.18 : 1,057.23 = 487.17 : x
  2. Step 2: Convert to fraction form
    702.18/1,057.23 = 487.17/x
  3. Step 3: Cross multiply
    702.18x = 1,057.23 × 487.17
  4. Step 4: Simplify right side
    702.18x = 515,050.74
  5. Step 5: Solve for x
    x = 515,050.74/702.18
  6. Step 6: Final answer
    x = 733.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.