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Finding the Fourth Proportional to 728.46, 1,092.29 and 295.11

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Solution

The fourth proportional to 728.46, 1,092.29 and 295.11 is: 442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.46 : 1,092.29 = 295.11 : x
  2. Step 2: Convert to fraction form
    728.46/1,092.29 = 295.11/x
  3. Step 3: Cross multiply
    728.46x = 1,092.29 × 295.11
  4. Step 4: Simplify right side
    728.46x = 322,344.23
  5. Step 5: Solve for x
    x = 322,344.23/728.46
  6. Step 6: Final answer
    x = 442.50

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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.