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Finding the Fourth Proportional to 702.41, 1,053.14 and 459

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Solution

The fourth proportional to 702.41, 1,053.14 and 459 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.41 : 1,053.14 = 459 : x
  2. Step 2: Convert to fraction form
    702.41/1,053.14 = 459/x
  3. Step 3: Cross multiply
    702.41x = 1,053.14 × 459
  4. Step 4: Simplify right side
    702.41x = 483,388.97
  5. Step 5: Solve for x
    x = 483,388.97/702.41
  6. Step 6: Final answer
    x = 688.19

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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.