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Finding the Fourth Proportional to 1,306.92, 1,961.46 and 866.94

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Solution

The fourth proportional to 1,306.92, 1,961.46 and 866.94 is: 1,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.92 : 1,961.46 = 866.94 : x
  2. Step 2: Convert to fraction form
    1,306.92/1,961.46 = 866.94/x
  3. Step 3: Cross multiply
    1,306.92x = 1,961.46 × 866.94
  4. Step 4: Simplify right side
    1,306.92x = 1,700,468.13
  5. Step 5: Solve for x
    x = 1,700,468.13/1,306.92
  6. Step 6: Final answer
    x = 1,301.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.