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Finding the Fourth Proportional to 1,314.13, 1,813.52 and 849.19

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Solution

The fourth proportional to 1,314.13, 1,813.52 and 849.19 is: 1,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.13 : 1,813.52 = 849.19 : x
  2. Step 2: Convert to fraction form
    1,314.13/1,813.52 = 849.19/x
  3. Step 3: Cross multiply
    1,314.13x = 1,813.52 × 849.19
  4. Step 4: Simplify right side
    1,314.13x = 1,540,023.05
  5. Step 5: Solve for x
    x = 1,540,023.05/1,314.13
  6. Step 6: Final answer
    x = 1,171.90

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Why These Related Problems?

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