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Finding the Fourth Proportional to 1,231.77, 1,699.71 and 759.59

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Solution

The fourth proportional to 1,231.77, 1,699.71 and 759.59 is: 1,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.77 : 1,699.71 = 759.59 : x
  2. Step 2: Convert to fraction form
    1,231.77/1,699.71 = 759.59/x
  3. Step 3: Cross multiply
    1,231.77x = 1,699.71 × 759.59
  4. Step 4: Simplify right side
    1,231.77x = 1,291,082.72
  5. Step 5: Solve for x
    x = 1,291,082.72/1,231.77
  6. Step 6: Final answer
    x = 1,048.15

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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.