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Finding the Fourth Proportional to 861.76, 1,282.28 and 858.88

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Solution

The fourth proportional to 861.76, 1,282.28 and 858.88 is: 1,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.76 : 1,282.28 = 858.88 : x
  2. Step 2: Convert to fraction form
    861.76/1,282.28 = 858.88/x
  3. Step 3: Cross multiply
    861.76x = 1,282.28 × 858.88
  4. Step 4: Simplify right side
    861.76x = 1,101,324.65
  5. Step 5: Solve for x
    x = 1,101,324.65/861.76
  6. Step 6: Final answer
    x = 1,277.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.