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Finding the Fourth Proportional to 867.88, 1,197.67 and 557.38

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Solution

The fourth proportional to 867.88, 1,197.67 and 557.38 is: 769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.88 : 1,197.67 = 557.38 : x
  2. Step 2: Convert to fraction form
    867.88/1,197.67 = 557.38/x
  3. Step 3: Cross multiply
    867.88x = 1,197.67 × 557.38
  4. Step 4: Simplify right side
    867.88x = 667,557.30
  5. Step 5: Solve for x
    x = 667,557.30/867.88
  6. Step 6: Final answer
    x = 769.18

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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.