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Finding the Fourth Proportional to 809.56, 1,115.98 and 572.76

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Solution

The fourth proportional to 809.56, 1,115.98 and 572.76 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.56 : 1,115.98 = 572.76 : x
  2. Step 2: Convert to fraction form
    809.56/1,115.98 = 572.76/x
  3. Step 3: Cross multiply
    809.56x = 1,115.98 × 572.76
  4. Step 4: Simplify right side
    809.56x = 639,188.70
  5. Step 5: Solve for x
    x = 639,188.70/809.56
  6. Step 6: Final answer
    x = 789.55

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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.