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Finding the Fourth Proportional to 865.79, 1,298.68 and 249.49

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Solution

The fourth proportional to 865.79, 1,298.68 and 249.49 is: 374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.79 : 1,298.68 = 249.49 : x
  2. Step 2: Convert to fraction form
    865.79/1,298.68 = 249.49/x
  3. Step 3: Cross multiply
    865.79x = 1,298.68 × 249.49
  4. Step 4: Simplify right side
    865.79x = 324,007.67
  5. Step 5: Solve for x
    x = 324,007.67/865.79
  6. Step 6: Final answer
    x = 374.23

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Half scale
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Double scale
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Similar ratio
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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.