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Finding the Fourth Proportional to 804.96, 1,206.12 and 515.76

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Solution

The fourth proportional to 804.96, 1,206.12 and 515.76 is: 772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,206.12 = 515.76 : x
  2. Step 2: Convert to fraction form
    804.96/1,206.12 = 515.76/x
  3. Step 3: Cross multiply
    804.96x = 1,206.12 × 515.76
  4. Step 4: Simplify right side
    804.96x = 622,068.45
  5. Step 5: Solve for x
    x = 622,068.45/804.96
  6. Step 6: Final answer
    x = 772.79

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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.