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Finding the Fourth Proportional to 1,161.57, 1,603.16 and 867.68

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Solution

The fourth proportional to 1,161.57, 1,603.16 and 867.68 is: 1,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.57 : 1,603.16 = 867.68 : x
  2. Step 2: Convert to fraction form
    1,161.57/1,603.16 = 867.68/x
  3. Step 3: Cross multiply
    1,161.57x = 1,603.16 × 867.68
  4. Step 4: Simplify right side
    1,161.57x = 1,391,029.87
  5. Step 5: Solve for x
    x = 1,391,029.87/1,161.57
  6. Step 6: Final answer
    x = 1,197.54

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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.