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Finding the Fourth Proportional to 1,180.28, 1,765.98 and 1,060.52

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Solution

The fourth proportional to 1,180.28, 1,765.98 and 1,060.52 is: 1,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.28 : 1,765.98 = 1,060.52 : x
  2. Step 2: Convert to fraction form
    1,180.28/1,765.98 = 1,060.52/x
  3. Step 3: Cross multiply
    1,180.28x = 1,765.98 × 1,060.52
  4. Step 4: Simplify right side
    1,180.28x = 1,872,857.11
  5. Step 5: Solve for x
    x = 1,872,857.11/1,180.28
  6. Step 6: Final answer
    x = 1,586.79

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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.