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Finding the Fourth Proportional to 801.20, 1,199.64 and 511.76

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Solution

The fourth proportional to 801.20, 1,199.64 and 511.76 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.20 : 1,199.64 = 511.76 : x
  2. Step 2: Convert to fraction form
    801.20/1,199.64 = 511.76/x
  3. Step 3: Cross multiply
    801.20x = 1,199.64 × 511.76
  4. Step 4: Simplify right side
    801.20x = 613,927.77
  5. Step 5: Solve for x
    x = 613,927.77/801.20
  6. Step 6: Final answer
    x = 766.26

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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.