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Finding the Fourth Proportional to 702.53, 1,053.45 and 410.14

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Solution

The fourth proportional to 702.53, 1,053.45 and 410.14 is: 615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.53 : 1,053.45 = 410.14 : x
  2. Step 2: Convert to fraction form
    702.53/1,053.45 = 410.14/x
  3. Step 3: Cross multiply
    702.53x = 1,053.45 × 410.14
  4. Step 4: Simplify right side
    702.53x = 432,061.98
  5. Step 5: Solve for x
    x = 432,061.98/702.53
  6. Step 6: Final answer
    x = 615.01

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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.