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Finding the Fourth Proportional to 693.92, 956.48 and 491.78

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Solution

The fourth proportional to 693.92, 956.48 and 491.78 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 956.48 = 491.78 : x
  2. Step 2: Convert to fraction form
    693.92/956.48 = 491.78/x
  3. Step 3: Cross multiply
    693.92x = 956.48 × 491.78
  4. Step 4: Simplify right side
    693.92x = 470,377.67
  5. Step 5: Solve for x
    x = 470,377.67/693.92
  6. Step 6: Final answer
    x = 677.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.