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Finding the Fourth Proportional to 834.40, 1,248.84 and 805.24

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Solution

The fourth proportional to 834.40, 1,248.84 and 805.24 is: 1,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,248.84 = 805.24 : x
  2. Step 2: Convert to fraction form
    834.40/1,248.84 = 805.24/x
  3. Step 3: Cross multiply
    834.40x = 1,248.84 × 805.24
  4. Step 4: Simplify right side
    834.40x = 1,005,615.92
  5. Step 5: Solve for x
    x = 1,005,615.92/834.40
  6. Step 6: Final answer
    x = 1,205.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.