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Finding the Fourth Proportional to 772.97, 1,159.49 and 225.14

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Solution

The fourth proportional to 772.97, 1,159.49 and 225.14 is: 337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.97 : 1,159.49 = 225.14 : x
  2. Step 2: Convert to fraction form
    772.97/1,159.49 = 225.14/x
  3. Step 3: Cross multiply
    772.97x = 1,159.49 × 225.14
  4. Step 4: Simplify right side
    772.97x = 261,047.58
  5. Step 5: Solve for x
    x = 261,047.58/772.97
  6. Step 6: Final answer
    x = 337.72

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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.