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Finding the Fourth Proportional to 702.09, 1,053.36 and 409.53

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Solution

The fourth proportional to 702.09, 1,053.36 and 409.53 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.09 : 1,053.36 = 409.53 : x
  2. Step 2: Convert to fraction form
    702.09/1,053.36 = 409.53/x
  3. Step 3: Cross multiply
    702.09x = 1,053.36 × 409.53
  4. Step 4: Simplify right side
    702.09x = 431,382.52
  5. Step 5: Solve for x
    x = 431,382.52/702.09
  6. Step 6: Final answer
    x = 614.43

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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.