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Finding the Fourth Proportional to 1,225.82, 1,839.45 and 576.56

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Solution

The fourth proportional to 1,225.82, 1,839.45 and 576.56 is: 865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.82 : 1,839.45 = 576.56 : x
  2. Step 2: Convert to fraction form
    1,225.82/1,839.45 = 576.56/x
  3. Step 3: Cross multiply
    1,225.82x = 1,839.45 × 576.56
  4. Step 4: Simplify right side
    1,225.82x = 1,060,553.29
  5. Step 5: Solve for x
    x = 1,060,553.29/1,225.82
  6. Step 6: Final answer
    x = 865.18

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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.