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Finding the Fourth Proportional to 747.16, 1,120.74 and 284.85

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Solution

The fourth proportional to 747.16, 1,120.74 and 284.85 is: 427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.16 : 1,120.74 = 284.85 : x
  2. Step 2: Convert to fraction form
    747.16/1,120.74 = 284.85/x
  3. Step 3: Cross multiply
    747.16x = 1,120.74 × 284.85
  4. Step 4: Simplify right side
    747.16x = 319,241.72
  5. Step 5: Solve for x
    x = 319,241.72/747.16
  6. Step 6: Final answer
    x = 427.28

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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.