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Finding the Fourth Proportional to 806.13, 1,209.20 and 373.23

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Solution

The fourth proportional to 806.13, 1,209.20 and 373.23 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.13 : 1,209.20 = 373.23 : x
  2. Step 2: Convert to fraction form
    806.13/1,209.20 = 373.23/x
  3. Step 3: Cross multiply
    806.13x = 1,209.20 × 373.23
  4. Step 4: Simplify right side
    806.13x = 451,309.72
  5. Step 5: Solve for x
    x = 451,309.72/806.13
  6. Step 6: Final answer
    x = 559.85

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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.