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Finding the Fourth Proportional to 865.97, 1,195.15 and 842.51

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Solution

The fourth proportional to 865.97, 1,195.15 and 842.51 is: 1,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.97 : 1,195.15 = 842.51 : x
  2. Step 2: Convert to fraction form
    865.97/1,195.15 = 842.51/x
  3. Step 3: Cross multiply
    865.97x = 1,195.15 × 842.51
  4. Step 4: Simplify right side
    865.97x = 1,006,925.83
  5. Step 5: Solve for x
    x = 1,006,925.83/865.97
  6. Step 6: Final answer
    x = 1,162.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.