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Finding the Fourth Proportional to 747.12, 1,118.61 and 381.12

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Solution

The fourth proportional to 747.12, 1,118.61 and 381.12 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.12 : 1,118.61 = 381.12 : x
  2. Step 2: Convert to fraction form
    747.12/1,118.61 = 381.12/x
  3. Step 3: Cross multiply
    747.12x = 1,118.61 × 381.12
  4. Step 4: Simplify right side
    747.12x = 426,324.64
  5. Step 5: Solve for x
    x = 426,324.64/747.12
  6. Step 6: Final answer
    x = 570.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.