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Finding the Fourth Proportional to 1,197.57, 1,652.57 and 731.82

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Solution

The fourth proportional to 1,197.57, 1,652.57 and 731.82 is: 1,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.57 : 1,652.57 = 731.82 : x
  2. Step 2: Convert to fraction form
    1,197.57/1,652.57 = 731.82/x
  3. Step 3: Cross multiply
    1,197.57x = 1,652.57 × 731.82
  4. Step 4: Simplify right side
    1,197.57x = 1,209,371.86
  5. Step 5: Solve for x
    x = 1,209,371.86/1,197.57
  6. Step 6: Final answer
    x = 1,009.86

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