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Finding the Fourth Proportional to 1,042.68, 1,437.97 and 865.36

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Solution

The fourth proportional to 1,042.68, 1,437.97 and 865.36 is: 1,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.68 : 1,437.97 = 865.36 : x
  2. Step 2: Convert to fraction form
    1,042.68/1,437.97 = 865.36/x
  3. Step 3: Cross multiply
    1,042.68x = 1,437.97 × 865.36
  4. Step 4: Simplify right side
    1,042.68x = 1,244,361.72
  5. Step 5: Solve for x
    x = 1,244,361.72/1,042.68
  6. Step 6: Final answer
    x = 1,193.43

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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.