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Finding the Fourth Proportional to 1,178.34, 1,765.22 and 1,057.59

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Solution

The fourth proportional to 1,178.34, 1,765.22 and 1,057.59 is: 1,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,765.22 = 1,057.59 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,765.22 = 1,057.59/x
  3. Step 3: Cross multiply
    1,178.34x = 1,765.22 × 1,057.59
  4. Step 4: Simplify right side
    1,178.34x = 1,866,879.02
  5. Step 5: Solve for x
    x = 1,866,879.02/1,178.34
  6. Step 6: Final answer
    x = 1,584.33

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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.