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Finding the Fourth Proportional to 756.38, 1,042.62 and 534.98

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Solution

The fourth proportional to 756.38, 1,042.62 and 534.98 is: 737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.38 : 1,042.62 = 534.98 : x
  2. Step 2: Convert to fraction form
    756.38/1,042.62 = 534.98/x
  3. Step 3: Cross multiply
    756.38x = 1,042.62 × 534.98
  4. Step 4: Simplify right side
    756.38x = 557,780.85
  5. Step 5: Solve for x
    x = 557,780.85/756.38
  6. Step 6: Final answer
    x = 737.43

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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.