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Finding the Fourth Proportional to 865.84, 1,298.97 and 249.53

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Solution

The fourth proportional to 865.84, 1,298.97 and 249.53 is: 374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,298.97 = 249.53 : x
  2. Step 2: Convert to fraction form
    865.84/1,298.97 = 249.53/x
  3. Step 3: Cross multiply
    865.84x = 1,298.97 × 249.53
  4. Step 4: Simplify right side
    865.84x = 324,131.98
  5. Step 5: Solve for x
    x = 324,131.98/865.84
  6. Step 6: Final answer
    x = 374.36

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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.