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Finding the Fourth Proportional to 1,465.92, 2,197.29 and 733.73

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Solution

The fourth proportional to 1,465.92, 2,197.29 and 733.73 is: 1,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.92 : 2,197.29 = 733.73 : x
  2. Step 2: Convert to fraction form
    1,465.92/2,197.29 = 733.73/x
  3. Step 3: Cross multiply
    1,465.92x = 2,197.29 × 733.73
  4. Step 4: Simplify right side
    1,465.92x = 1,612,217.59
  5. Step 5: Solve for x
    x = 1,612,217.59/1,465.92
  6. Step 6: Final answer
    x = 1,099.80

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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.