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Finding the Fourth Proportional to 866.75, 1,306.63 and 853.79

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Solution

The fourth proportional to 866.75, 1,306.63 and 853.79 is: 1,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.75 : 1,306.63 = 853.79 : x
  2. Step 2: Convert to fraction form
    866.75/1,306.63 = 853.79/x
  3. Step 3: Cross multiply
    866.75x = 1,306.63 × 853.79
  4. Step 4: Simplify right side
    866.75x = 1,115,587.63
  5. Step 5: Solve for x
    x = 1,115,587.63/866.75
  6. Step 6: Final answer
    x = 1,287.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.