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Finding the Fourth Proportional to 1,142.46, 1,576.56 and 645.09

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Solution

The fourth proportional to 1,142.46, 1,576.56 and 645.09 is: 890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.46 : 1,576.56 = 645.09 : x
  2. Step 2: Convert to fraction form
    1,142.46/1,576.56 = 645.09/x
  3. Step 3: Cross multiply
    1,142.46x = 1,576.56 × 645.09
  4. Step 4: Simplify right side
    1,142.46x = 1,017,023.09
  5. Step 5: Solve for x
    x = 1,017,023.09/1,142.46
  6. Step 6: Final answer
    x = 890.20

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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.