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Finding the Fourth Proportional to 1,524.92, 2,280.78 and 898.73

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Solution

The fourth proportional to 1,524.92, 2,280.78 and 898.73 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.92 : 2,280.78 = 898.73 : x
  2. Step 2: Convert to fraction form
    1,524.92/2,280.78 = 898.73/x
  3. Step 3: Cross multiply
    1,524.92x = 2,280.78 × 898.73
  4. Step 4: Simplify right side
    1,524.92x = 2,049,799.71
  5. Step 5: Solve for x
    x = 2,049,799.71/1,524.92
  6. Step 6: Final answer
    x = 1,344.20

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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.