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Finding the Fourth Proportional to 1,197.75, 1,652.49 and 725.52

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Solution

The fourth proportional to 1,197.75, 1,652.49 and 725.52 is: 1,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.75 : 1,652.49 = 725.52 : x
  2. Step 2: Convert to fraction form
    1,197.75/1,652.49 = 725.52/x
  3. Step 3: Cross multiply
    1,197.75x = 1,652.49 × 725.52
  4. Step 4: Simplify right side
    1,197.75x = 1,198,914.54
  5. Step 5: Solve for x
    x = 1,198,914.54/1,197.75
  6. Step 6: Final answer
    x = 1,000.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.