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Finding the Fourth Proportional to 806.90, 1,207.65 and 563.90

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Solution

The fourth proportional to 806.90, 1,207.65 and 563.90 is: 843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.90 : 1,207.65 = 563.90 : x
  2. Step 2: Convert to fraction form
    806.90/1,207.65 = 563.90/x
  3. Step 3: Cross multiply
    806.90x = 1,207.65 × 563.90
  4. Step 4: Simplify right side
    806.90x = 680,993.84
  5. Step 5: Solve for x
    x = 680,993.84/806.90
  6. Step 6: Final answer
    x = 843.96

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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.