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Finding the Fourth Proportional to 1,142.15, 1,576.14 and 644.85

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Solution

The fourth proportional to 1,142.15, 1,576.14 and 644.85 is: 889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.15 : 1,576.14 = 644.85 : x
  2. Step 2: Convert to fraction form
    1,142.15/1,576.14 = 644.85/x
  3. Step 3: Cross multiply
    1,142.15x = 1,576.14 × 644.85
  4. Step 4: Simplify right side
    1,142.15x = 1,016,373.88
  5. Step 5: Solve for x
    x = 1,016,373.88/1,142.15
  6. Step 6: Final answer
    x = 889.88

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Why These Related Problems?

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