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Finding the Fourth Proportional to 727.86, 1,092.24 and 468.02

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Solution

The fourth proportional to 727.86, 1,092.24 and 468.02 is: 702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,092.24 = 468.02 : x
  2. Step 2: Convert to fraction form
    727.86/1,092.24 = 468.02/x
  3. Step 3: Cross multiply
    727.86x = 1,092.24 × 468.02
  4. Step 4: Simplify right side
    727.86x = 511,191.92
  5. Step 5: Solve for x
    x = 511,191.92/727.86
  6. Step 6: Final answer
    x = 702.32

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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.