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Finding the Fourth Proportional to 961.88, 1,439.74 and 767.88

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Solution

The fourth proportional to 961.88, 1,439.74 and 767.88 is: 1,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.88 : 1,439.74 = 767.88 : x
  2. Step 2: Convert to fraction form
    961.88/1,439.74 = 767.88/x
  3. Step 3: Cross multiply
    961.88x = 1,439.74 × 767.88
  4. Step 4: Simplify right side
    961.88x = 1,105,547.55
  5. Step 5: Solve for x
    x = 1,105,547.55/961.88
  6. Step 6: Final answer
    x = 1,149.36

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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.