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Finding the Fourth Proportional to 1,142.31, 1,576.47 and 645.06

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Solution

The fourth proportional to 1,142.31, 1,576.47 and 645.06 is: 890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.31 : 1,576.47 = 645.06 : x
  2. Step 2: Convert to fraction form
    1,142.31/1,576.47 = 645.06/x
  3. Step 3: Cross multiply
    1,142.31x = 1,576.47 × 645.06
  4. Step 4: Simplify right side
    1,142.31x = 1,016,917.74
  5. Step 5: Solve for x
    x = 1,016,917.74/1,142.31
  6. Step 6: Final answer
    x = 890.23

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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.