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Finding the Fourth Proportional to 747.78, 1,121.46 and 285.24

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Solution

The fourth proportional to 747.78, 1,121.46 and 285.24 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.78 : 1,121.46 = 285.24 : x
  2. Step 2: Convert to fraction form
    747.78/1,121.46 = 285.24/x
  3. Step 3: Cross multiply
    747.78x = 1,121.46 × 285.24
  4. Step 4: Simplify right side
    747.78x = 319,885.25
  5. Step 5: Solve for x
    x = 319,885.25/747.78
  6. Step 6: Final answer
    x = 427.78

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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.