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Finding the Fourth Proportional to 1,222.38, 1,686.92 and 691.17

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Solution

The fourth proportional to 1,222.38, 1,686.92 and 691.17 is: 953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.38 : 1,686.92 = 691.17 : x
  2. Step 2: Convert to fraction form
    1,222.38/1,686.92 = 691.17/x
  3. Step 3: Cross multiply
    1,222.38x = 1,686.92 × 691.17
  4. Step 4: Simplify right side
    1,222.38x = 1,165,945.04
  5. Step 5: Solve for x
    x = 1,165,945.04/1,222.38
  6. Step 6: Final answer
    x = 953.83

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1.5x scale

Why These Related Problems?

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