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Finding the Fourth Proportional to 809, 1,116.60 and 514.21

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Solution

The fourth proportional to 809, 1,116.60 and 514.21 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    809 : 1,116.60 = 514.21 : x
  2. Step 2: Convert to fraction form
    809/1,116.60 = 514.21/x
  3. Step 3: Cross multiply
    809x = 1,116.60 × 514.21
  4. Step 4: Simplify right side
    809x = 574,166.89
  5. Step 5: Solve for x
    x = 574,166.89/809
  6. Step 6: Final answer
    x = 709.72

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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.