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Finding the Fourth Proportional to 1,462.62, 2,194.74 and 732.81

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Solution

The fourth proportional to 1,462.62, 2,194.74 and 732.81 is: 1,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.62 : 2,194.74 = 732.81 : x
  2. Step 2: Convert to fraction form
    1,462.62/2,194.74 = 732.81/x
  3. Step 3: Cross multiply
    1,462.62x = 2,194.74 × 732.81
  4. Step 4: Simplify right side
    1,462.62x = 1,608,327.42
  5. Step 5: Solve for x
    x = 1,608,327.42/1,462.62
  6. Step 6: Final answer
    x = 1,099.62

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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.