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Finding the Fourth Proportional to 1,217.33, 1,679.85 and 686.22

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Solution

The fourth proportional to 1,217.33, 1,679.85 and 686.22 is: 946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.33 : 1,679.85 = 686.22 : x
  2. Step 2: Convert to fraction form
    1,217.33/1,679.85 = 686.22/x
  3. Step 3: Cross multiply
    1,217.33x = 1,679.85 × 686.22
  4. Step 4: Simplify right side
    1,217.33x = 1,152,746.67
  5. Step 5: Solve for x
    x = 1,152,746.67/1,217.33
  6. Step 6: Final answer
    x = 946.95

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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.