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Finding the Fourth Proportional to 694.02, 1,041.14 and 462.97

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Solution

The fourth proportional to 694.02, 1,041.14 and 462.97 is: 694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.02 : 1,041.14 = 462.97 : x
  2. Step 2: Convert to fraction form
    694.02/1,041.14 = 462.97/x
  3. Step 3: Cross multiply
    694.02x = 1,041.14 × 462.97
  4. Step 4: Simplify right side
    694.02x = 482,016.59
  5. Step 5: Solve for x
    x = 482,016.59/694.02
  6. Step 6: Final answer
    x = 694.53

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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.