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Finding the Fourth Proportional to 806.71, 1,113.30 and 631.75

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Solution

The fourth proportional to 806.71, 1,113.30 and 631.75 is: 871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.71 : 1,113.30 = 631.75 : x
  2. Step 2: Convert to fraction form
    806.71/1,113.30 = 631.75/x
  3. Step 3: Cross multiply
    806.71x = 1,113.30 × 631.75
  4. Step 4: Simplify right side
    806.71x = 703,327.28
  5. Step 5: Solve for x
    x = 703,327.28/806.71
  6. Step 6: Final answer
    x = 871.85

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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.