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Finding the Fourth Proportional to 1,142.05, 1,576.08 and 644.71

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Solution

The fourth proportional to 1,142.05, 1,576.08 and 644.71 is: 889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.05 : 1,576.08 = 644.71 : x
  2. Step 2: Convert to fraction form
    1,142.05/1,576.08 = 644.71/x
  3. Step 3: Cross multiply
    1,142.05x = 1,576.08 × 644.71
  4. Step 4: Simplify right side
    1,142.05x = 1,016,114.54
  5. Step 5: Solve for x
    x = 1,016,114.54/1,142.05
  6. Step 6: Final answer
    x = 889.73

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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.