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Finding the Fourth Proportional to 747.83, 1,122.05 and 285.73

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Solution

The fourth proportional to 747.83, 1,122.05 and 285.73 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.83 : 1,122.05 = 285.73 : x
  2. Step 2: Convert to fraction form
    747.83/1,122.05 = 285.73/x
  3. Step 3: Cross multiply
    747.83x = 1,122.05 × 285.73
  4. Step 4: Simplify right side
    747.83x = 320,601.26
  5. Step 5: Solve for x
    x = 320,601.26/747.83
  6. Step 6: Final answer
    x = 428.71

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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.