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Finding the Fourth Proportional to 834.06, 1,248.84 and 559.56

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Solution

The fourth proportional to 834.06, 1,248.84 and 559.56 is: 837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.06 : 1,248.84 = 559.56 : x
  2. Step 2: Convert to fraction form
    834.06/1,248.84 = 559.56/x
  3. Step 3: Cross multiply
    834.06x = 1,248.84 × 559.56
  4. Step 4: Simplify right side
    834.06x = 698,800.91
  5. Step 5: Solve for x
    x = 698,800.91/834.06
  6. Step 6: Final answer
    x = 837.83

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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.