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Finding the Fourth Proportional to 723.93, 1,086.45 and 492.27

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Solution

The fourth proportional to 723.93, 1,086.45 and 492.27 is: 738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.93 : 1,086.45 = 492.27 : x
  2. Step 2: Convert to fraction form
    723.93/1,086.45 = 492.27/x
  3. Step 3: Cross multiply
    723.93x = 1,086.45 × 492.27
  4. Step 4: Simplify right side
    723.93x = 534,826.74
  5. Step 5: Solve for x
    x = 534,826.74/723.93
  6. Step 6: Final answer
    x = 738.78

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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.