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Finding the Fourth Proportional to 747.75, 1,122.31 and 382.79

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Solution

The fourth proportional to 747.75, 1,122.31 and 382.79 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.75 : 1,122.31 = 382.79 : x
  2. Step 2: Convert to fraction form
    747.75/1,122.31 = 382.79/x
  3. Step 3: Cross multiply
    747.75x = 1,122.31 × 382.79
  4. Step 4: Simplify right side
    747.75x = 429,607.13
  5. Step 5: Solve for x
    x = 429,607.13/747.75
  6. Step 6: Final answer
    x = 574.53

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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.