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Finding the Fourth Proportional to 1,142.11, 1,576.17 and 644.93

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Solution

The fourth proportional to 1,142.11, 1,576.17 and 644.93 is: 890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.11 : 1,576.17 = 644.93 : x
  2. Step 2: Convert to fraction form
    1,142.11/1,576.17 = 644.93/x
  3. Step 3: Cross multiply
    1,142.11x = 1,576.17 × 644.93
  4. Step 4: Simplify right side
    1,142.11x = 1,016,519.32
  5. Step 5: Solve for x
    x = 1,016,519.32/1,142.11
  6. Step 6: Final answer
    x = 890.04

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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.