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Finding the Fourth Proportional to 747.17, 1,119.98 and 284.82

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Solution

The fourth proportional to 747.17, 1,119.98 and 284.82 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.17 : 1,119.98 = 284.82 : x
  2. Step 2: Convert to fraction form
    747.17/1,119.98 = 284.82/x
  3. Step 3: Cross multiply
    747.17x = 1,119.98 × 284.82
  4. Step 4: Simplify right side
    747.17x = 318,990.76
  5. Step 5: Solve for x
    x = 318,990.76/747.17
  6. Step 6: Final answer
    x = 426.93

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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.