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Finding the Fourth Proportional to 1,186.97, 1,781.07 and 842.52

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Solution

The fourth proportional to 1,186.97, 1,781.07 and 842.52 is: 1,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.97 : 1,781.07 = 842.52 : x
  2. Step 2: Convert to fraction form
    1,186.97/1,781.07 = 842.52/x
  3. Step 3: Cross multiply
    1,186.97x = 1,781.07 × 842.52
  4. Step 4: Simplify right side
    1,186.97x = 1,500,587.10
  5. Step 5: Solve for x
    x = 1,500,587.10/1,186.97
  6. Step 6: Final answer
    x = 1,264.22

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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.