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Finding the Fourth Proportional to 772.60, 1,158.96 and 224.79

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Solution

The fourth proportional to 772.60, 1,158.96 and 224.79 is: 337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.60 : 1,158.96 = 224.79 : x
  2. Step 2: Convert to fraction form
    772.60/1,158.96 = 224.79/x
  3. Step 3: Cross multiply
    772.60x = 1,158.96 × 224.79
  4. Step 4: Simplify right side
    772.60x = 260,522.62
  5. Step 5: Solve for x
    x = 260,522.62/772.60
  6. Step 6: Final answer
    x = 337.20

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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.