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Finding the Fourth Proportional to 1,197.41, 1,652.16 and 725.21

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Solution

The fourth proportional to 1,197.41, 1,652.16 and 725.21 is: 1,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.41 : 1,652.16 = 725.21 : x
  2. Step 2: Convert to fraction form
    1,197.41/1,652.16 = 725.21/x
  3. Step 3: Cross multiply
    1,197.41x = 1,652.16 × 725.21
  4. Step 4: Simplify right side
    1,197.41x = 1,198,163.61
  5. Step 5: Solve for x
    x = 1,198,163.61/1,197.41
  6. Step 6: Final answer
    x = 1,000.63

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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.