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Finding the Fourth Proportional to 1,144.17, 1,576.80 and 1,123.11

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Solution

The fourth proportional to 1,144.17, 1,576.80 and 1,123.11 is: 1,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.17 : 1,576.80 = 1,123.11 : x
  2. Step 2: Convert to fraction form
    1,144.17/1,576.80 = 1,123.11/x
  3. Step 3: Cross multiply
    1,144.17x = 1,576.80 × 1,123.11
  4. Step 4: Simplify right side
    1,144.17x = 1,770,919.85
  5. Step 5: Solve for x
    x = 1,770,919.85/1,144.17
  6. Step 6: Final answer
    x = 1,547.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.