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Finding the Fourth Proportional to 694.82, 1,042.94 and 542.40

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Solution

The fourth proportional to 694.82, 1,042.94 and 542.40 is: 814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.82 : 1,042.94 = 542.40 : x
  2. Step 2: Convert to fraction form
    694.82/1,042.94 = 542.40/x
  3. Step 3: Cross multiply
    694.82x = 1,042.94 × 542.40
  4. Step 4: Simplify right side
    694.82x = 565,690.66
  5. Step 5: Solve for x
    x = 565,690.66/694.82
  6. Step 6: Final answer
    x = 814.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.