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Finding the Fourth Proportional to 693.38, 951.86 and 594.97

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Solution

The fourth proportional to 693.38, 951.86 and 594.97 is: 816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.38 : 951.86 = 594.97 : x
  2. Step 2: Convert to fraction form
    693.38/951.86 = 594.97/x
  3. Step 3: Cross multiply
    693.38x = 951.86 × 594.97
  4. Step 4: Simplify right side
    693.38x = 566,325.02
  5. Step 5: Solve for x
    x = 566,325.02/693.38
  6. Step 6: Final answer
    x = 816.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.