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Finding the Fourth Proportional to 702.23, 1,052.99 and 409.82

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Solution

The fourth proportional to 702.23, 1,052.99 and 409.82 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.23 : 1,052.99 = 409.82 : x
  2. Step 2: Convert to fraction form
    702.23/1,052.99 = 409.82/x
  3. Step 3: Cross multiply
    702.23x = 1,052.99 × 409.82
  4. Step 4: Simplify right side
    702.23x = 431,534.31
  5. Step 5: Solve for x
    x = 431,534.31/702.23
  6. Step 6: Final answer
    x = 614.52

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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.