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Finding the Fourth Proportional to 772.46, 1,158.90 and 224.69

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Solution

The fourth proportional to 772.46, 1,158.90 and 224.69 is: 337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.46 : 1,158.90 = 224.69 : x
  2. Step 2: Convert to fraction form
    772.46/1,158.90 = 224.69/x
  3. Step 3: Cross multiply
    772.46x = 1,158.90 × 224.69
  4. Step 4: Simplify right side
    772.46x = 260,387.45
  5. Step 5: Solve for x
    x = 260,387.45/772.46
  6. Step 6: Final answer
    x = 337.09

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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.