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Finding the Fourth Proportional to 1,012.30, 1,517.81 and 318.76

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Solution

The fourth proportional to 1,012.30, 1,517.81 and 318.76 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.30 : 1,517.81 = 318.76 : x
  2. Step 2: Convert to fraction form
    1,012.30/1,517.81 = 318.76/x
  3. Step 3: Cross multiply
    1,012.30x = 1,517.81 × 318.76
  4. Step 4: Simplify right side
    1,012.30x = 483,811.73
  5. Step 5: Solve for x
    x = 483,811.73/1,012.30
  6. Step 6: Final answer
    x = 477.93

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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.