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Finding the Fourth Proportional to 1,310.71, 1,808.21 and 806.39

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Solution

The fourth proportional to 1,310.71, 1,808.21 and 806.39 is: 1,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.71 : 1,808.21 = 806.39 : x
  2. Step 2: Convert to fraction form
    1,310.71/1,808.21 = 806.39/x
  3. Step 3: Cross multiply
    1,310.71x = 1,808.21 × 806.39
  4. Step 4: Simplify right side
    1,310.71x = 1,458,122.46
  5. Step 5: Solve for x
    x = 1,458,122.46/1,310.71
  6. Step 6: Final answer
    x = 1,112.47

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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.