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Finding the Fourth Proportional to 1,012.20, 1,517.94 and 434.76

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Solution

The fourth proportional to 1,012.20, 1,517.94 and 434.76 is: 651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.20 : 1,517.94 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,012.20/1,517.94 = 434.76/x
  3. Step 3: Cross multiply
    1,012.20x = 1,517.94 × 434.76
  4. Step 4: Simplify right side
    1,012.20x = 659,939.59
  5. Step 5: Solve for x
    x = 659,939.59/1,012.20
  6. Step 6: Final answer
    x = 651.99

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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.