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Finding the Fourth Proportional to 806.15, 1,209.98 and 532.43

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Solution

The fourth proportional to 806.15, 1,209.98 and 532.43 is: 799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.15 : 1,209.98 = 532.43 : x
  2. Step 2: Convert to fraction form
    806.15/1,209.98 = 532.43/x
  3. Step 3: Cross multiply
    806.15x = 1,209.98 × 532.43
  4. Step 4: Simplify right side
    806.15x = 644,220.94
  5. Step 5: Solve for x
    x = 644,220.94/806.15
  6. Step 6: Final answer
    x = 799.14

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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.