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Finding the Fourth Proportional to 925.89, 1,387.24 and 486.49

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Solution

The fourth proportional to 925.89, 1,387.24 and 486.49 is: 728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.89 : 1,387.24 = 486.49 : x
  2. Step 2: Convert to fraction form
    925.89/1,387.24 = 486.49/x
  3. Step 3: Cross multiply
    925.89x = 1,387.24 × 486.49
  4. Step 4: Simplify right side
    925.89x = 674,876.30
  5. Step 5: Solve for x
    x = 674,876.30/925.89
  6. Step 6: Final answer
    x = 728.89

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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.