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Finding the Fourth Proportional to 1,226.38, 1,691.25 and 946.18

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Solution

The fourth proportional to 1,226.38, 1,691.25 and 946.18 is: 1,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.38 : 1,691.25 = 946.18 : x
  2. Step 2: Convert to fraction form
    1,226.38/1,691.25 = 946.18/x
  3. Step 3: Cross multiply
    1,226.38x = 1,691.25 × 946.18
  4. Step 4: Simplify right side
    1,226.38x = 1,600,226.93
  5. Step 5: Solve for x
    x = 1,600,226.93/1,226.38
  6. Step 6: Final answer
    x = 1,304.84

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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.