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Finding the Fourth Proportional to 1,310.98, 1,809.24 and 863.14

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Solution

The fourth proportional to 1,310.98, 1,809.24 and 863.14 is: 1,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.98 : 1,809.24 = 863.14 : x
  2. Step 2: Convert to fraction form
    1,310.98/1,809.24 = 863.14/x
  3. Step 3: Cross multiply
    1,310.98x = 1,809.24 × 863.14
  4. Step 4: Simplify right side
    1,310.98x = 1,561,627.41
  5. Step 5: Solve for x
    x = 1,561,627.41/1,310.98
  6. Step 6: Final answer
    x = 1,191.19

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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.