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Finding the Fourth Proportional to 747.27, 1,120.64 and 285.12

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Solution

The fourth proportional to 747.27, 1,120.64 and 285.12 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.27 : 1,120.64 = 285.12 : x
  2. Step 2: Convert to fraction form
    747.27/1,120.64 = 285.12/x
  3. Step 3: Cross multiply
    747.27x = 1,120.64 × 285.12
  4. Step 4: Simplify right side
    747.27x = 319,515.45
  5. Step 5: Solve for x
    x = 319,515.45/747.27
  6. Step 6: Final answer
    x = 427.58

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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.