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Finding the Fourth Proportional to 729.10, 1,092.93 and 468.36

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Solution

The fourth proportional to 729.10, 1,092.93 and 468.36 is: 702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.10 : 1,092.93 = 468.36 : x
  2. Step 2: Convert to fraction form
    729.10/1,092.93 = 468.36/x
  3. Step 3: Cross multiply
    729.10x = 1,092.93 × 468.36
  4. Step 4: Simplify right side
    729.10x = 511,884.69
  5. Step 5: Solve for x
    x = 511,884.69/729.10
  6. Step 6: Final answer
    x = 702.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.