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Finding the Fourth Proportional to 865.80, 1,298.75 and 249.49

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Solution

The fourth proportional to 865.80, 1,298.75 and 249.49 is: 374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.80 : 1,298.75 = 249.49 : x
  2. Step 2: Convert to fraction form
    865.80/1,298.75 = 249.49/x
  3. Step 3: Cross multiply
    865.80x = 1,298.75 × 249.49
  4. Step 4: Simplify right side
    865.80x = 324,025.14
  5. Step 5: Solve for x
    x = 324,025.14/865.80
  6. Step 6: Final answer
    x = 374.25

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Double scale
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1.5x scale

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.