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Finding the Fourth Proportional to 721.74, 1,082.61 and 259.65

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Solution

The fourth proportional to 721.74, 1,082.61 and 259.65 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.74 : 1,082.61 = 259.65 : x
  2. Step 2: Convert to fraction form
    721.74/1,082.61 = 259.65/x
  3. Step 3: Cross multiply
    721.74x = 1,082.61 × 259.65
  4. Step 4: Simplify right side
    721.74x = 281,099.69
  5. Step 5: Solve for x
    x = 281,099.69/721.74
  6. Step 6: Final answer
    x = 389.48

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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.