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Finding the Fourth Proportional to 772.92, 1,159.58 and 225.15

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Solution

The fourth proportional to 772.92, 1,159.58 and 225.15 is: 337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,159.58 = 225.15 : x
  2. Step 2: Convert to fraction form
    772.92/1,159.58 = 225.15/x
  3. Step 3: Cross multiply
    772.92x = 1,159.58 × 225.15
  4. Step 4: Simplify right side
    772.92x = 261,078.31
  5. Step 5: Solve for x
    x = 261,078.31/772.92
  6. Step 6: Final answer
    x = 337.78

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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.