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Finding the Fourth Proportional to 865.98, 1,292.68 and 801.74

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Solution

The fourth proportional to 865.98, 1,292.68 and 801.74 is: 1,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,292.68 = 801.74 : x
  2. Step 2: Convert to fraction form
    865.98/1,292.68 = 801.74/x
  3. Step 3: Cross multiply
    865.98x = 1,292.68 × 801.74
  4. Step 4: Simplify right side
    865.98x = 1,036,386.80
  5. Step 5: Solve for x
    x = 1,036,386.80/865.98
  6. Step 6: Final answer
    x = 1,196.79

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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.