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Finding the Fourth Proportional to 1,179.37, 1,767.38 and 868.78

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Solution

The fourth proportional to 1,179.37, 1,767.38 and 868.78 is: 1,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.37 : 1,767.38 = 868.78 : x
  2. Step 2: Convert to fraction form
    1,179.37/1,767.38 = 868.78/x
  3. Step 3: Cross multiply
    1,179.37x = 1,767.38 × 868.78
  4. Step 4: Simplify right side
    1,179.37x = 1,535,455.63
  5. Step 5: Solve for x
    x = 1,535,455.63/1,179.37
  6. Step 6: Final answer
    x = 1,301.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.