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Finding the Fourth Proportional to 1,036.26, 1,431.96 and 849.66

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Solution

The fourth proportional to 1,036.26, 1,431.96 and 849.66 is: 1,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.26 : 1,431.96 = 849.66 : x
  2. Step 2: Convert to fraction form
    1,036.26/1,431.96 = 849.66/x
  3. Step 3: Cross multiply
    1,036.26x = 1,431.96 × 849.66
  4. Step 4: Simplify right side
    1,036.26x = 1,216,679.13
  5. Step 5: Solve for x
    x = 1,216,679.13/1,036.26
  6. Step 6: Final answer
    x = 1,174.11

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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.