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Finding the Fourth Proportional to 747.01, 1,125.38 and 585.42

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Solution

The fourth proportional to 747.01, 1,125.38 and 585.42 is: 881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.01 : 1,125.38 = 585.42 : x
  2. Step 2: Convert to fraction form
    747.01/1,125.38 = 585.42/x
  3. Step 3: Cross multiply
    747.01x = 1,125.38 × 585.42
  4. Step 4: Simplify right side
    747.01x = 658,819.96
  5. Step 5: Solve for x
    x = 658,819.96/747.01
  6. Step 6: Final answer
    x = 881.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.