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Finding the Fourth Proportional to 1,042.84, 1,439.84 and 932.16

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Solution

The fourth proportional to 1,042.84, 1,439.84 and 932.16 is: 1,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.84 : 1,439.84 = 932.16 : x
  2. Step 2: Convert to fraction form
    1,042.84/1,439.84 = 932.16/x
  3. Step 3: Cross multiply
    1,042.84x = 1,439.84 × 932.16
  4. Step 4: Simplify right side
    1,042.84x = 1,342,161.25
  5. Step 5: Solve for x
    x = 1,342,161.25/1,042.84
  6. Step 6: Final answer
    x = 1,287.03

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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.