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Finding the Fourth Proportional to 1,177.30, 1,767.11 and 883.78

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Solution

The fourth proportional to 1,177.30, 1,767.11 and 883.78 is: 1,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.30 : 1,767.11 = 883.78 : x
  2. Step 2: Convert to fraction form
    1,177.30/1,767.11 = 883.78/x
  3. Step 3: Cross multiply
    1,177.30x = 1,767.11 × 883.78
  4. Step 4: Simplify right side
    1,177.30x = 1,561,723.22
  5. Step 5: Solve for x
    x = 1,561,723.22/1,177.30
  6. Step 6: Final answer
    x = 1,326.54

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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.