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Finding the Fourth Proportional to 772.61, 1,158.89 and 224.78

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Solution

The fourth proportional to 772.61, 1,158.89 and 224.78 is: 337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,158.89 = 224.78 : x
  2. Step 2: Convert to fraction form
    772.61/1,158.89 = 224.78/x
  3. Step 3: Cross multiply
    772.61x = 1,158.89 × 224.78
  4. Step 4: Simplify right side
    772.61x = 260,497.07
  5. Step 5: Solve for x
    x = 260,497.07/772.61
  6. Step 6: Final answer
    x = 337.16

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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.