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Finding the Fourth Proportional to 1,189.46, 1,639.73 and 815.85

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Solution

The fourth proportional to 1,189.46, 1,639.73 and 815.85 is: 1,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.46 : 1,639.73 = 815.85 : x
  2. Step 2: Convert to fraction form
    1,189.46/1,639.73 = 815.85/x
  3. Step 3: Cross multiply
    1,189.46x = 1,639.73 × 815.85
  4. Step 4: Simplify right side
    1,189.46x = 1,337,769.64
  5. Step 5: Solve for x
    x = 1,337,769.64/1,189.46
  6. Step 6: Final answer
    x = 1,124.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.