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Finding the Fourth Proportional to 805.77, 1,206.86 and 496.68

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Solution

The fourth proportional to 805.77, 1,206.86 and 496.68 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.77 : 1,206.86 = 496.68 : x
  2. Step 2: Convert to fraction form
    805.77/1,206.86 = 496.68/x
  3. Step 3: Cross multiply
    805.77x = 1,206.86 × 496.68
  4. Step 4: Simplify right side
    805.77x = 599,420.74
  5. Step 5: Solve for x
    x = 599,420.74/805.77
  6. Step 6: Final answer
    x = 743.91

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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.