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Finding the Fourth Proportional to 925.74, 1,387.80 and 493.20

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Solution

The fourth proportional to 925.74, 1,387.80 and 493.20 is: 739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.74 : 1,387.80 = 493.20 : x
  2. Step 2: Convert to fraction form
    925.74/1,387.80 = 493.20/x
  3. Step 3: Cross multiply
    925.74x = 1,387.80 × 493.20
  4. Step 4: Simplify right side
    925.74x = 684,462.96
  5. Step 5: Solve for x
    x = 684,462.96/925.74
  6. Step 6: Final answer
    x = 739.37

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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.