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Finding the Fourth Proportional to 1,217.83, 1,680.20 and 693.49

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Solution

The fourth proportional to 1,217.83, 1,680.20 and 693.49 is: 956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.83 : 1,680.20 = 693.49 : x
  2. Step 2: Convert to fraction form
    1,217.83/1,680.20 = 693.49/x
  3. Step 3: Cross multiply
    1,217.83x = 1,680.20 × 693.49
  4. Step 4: Simplify right side
    1,217.83x = 1,165,198.43
  5. Step 5: Solve for x
    x = 1,165,198.43/1,217.83
  6. Step 6: Final answer
    x = 956.78

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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.