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Finding the Fourth Proportional to 1,012.89, 1,517.31 and 464.31

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Solution

The fourth proportional to 1,012.89, 1,517.31 and 464.31 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.89 : 1,517.31 = 464.31 : x
  2. Step 2: Convert to fraction form
    1,012.89/1,517.31 = 464.31/x
  3. Step 3: Cross multiply
    1,012.89x = 1,517.31 × 464.31
  4. Step 4: Simplify right side
    1,012.89x = 704,502.21
  5. Step 5: Solve for x
    x = 704,502.21/1,012.89
  6. Step 6: Final answer
    x = 695.54

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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.