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Finding the Fourth Proportional to 1,349.11, 1,861.80 and 759.63

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Solution

The fourth proportional to 1,349.11, 1,861.80 and 759.63 is: 1,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.11 : 1,861.80 = 759.63 : x
  2. Step 2: Convert to fraction form
    1,349.11/1,861.80 = 759.63/x
  3. Step 3: Cross multiply
    1,349.11x = 1,861.80 × 759.63
  4. Step 4: Simplify right side
    1,349.11x = 1,414,279.13
  5. Step 5: Solve for x
    x = 1,414,279.13/1,349.11
  6. Step 6: Final answer
    x = 1,048.31

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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.