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Finding the Fourth Proportional to 729.66, 1,092.06 and 702.12

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Solution

The fourth proportional to 729.66, 1,092.06 and 702.12 is: 1,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.66 : 1,092.06 = 702.12 : x
  2. Step 2: Convert to fraction form
    729.66/1,092.06 = 702.12/x
  3. Step 3: Cross multiply
    729.66x = 1,092.06 × 702.12
  4. Step 4: Simplify right side
    729.66x = 766,757.17
  5. Step 5: Solve for x
    x = 766,757.17/729.66
  6. Step 6: Final answer
    x = 1,050.84

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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.