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Finding the Fourth Proportional to 807.91, 1,212.13 and 499.33

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Solution

The fourth proportional to 807.91, 1,212.13 and 499.33 is: 749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.91 : 1,212.13 = 499.33 : x
  2. Step 2: Convert to fraction form
    807.91/1,212.13 = 499.33/x
  3. Step 3: Cross multiply
    807.91x = 1,212.13 × 499.33
  4. Step 4: Simplify right side
    807.91x = 605,255.01
  5. Step 5: Solve for x
    x = 605,255.01/807.91
  6. Step 6: Final answer
    x = 749.16

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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.