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Finding the Fourth Proportional to 694.53, 1,042.29 and 512.40

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Solution

The fourth proportional to 694.53, 1,042.29 and 512.40 is: 768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.53 : 1,042.29 = 512.40 : x
  2. Step 2: Convert to fraction form
    694.53/1,042.29 = 512.40/x
  3. Step 3: Cross multiply
    694.53x = 1,042.29 × 512.40
  4. Step 4: Simplify right side
    694.53x = 534,069.40
  5. Step 5: Solve for x
    x = 534,069.40/694.53
  6. Step 6: Final answer
    x = 768.97

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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.