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Finding the Fourth Proportional to 1,312.25, 1,969.31 and 581.43

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Solution

The fourth proportional to 1,312.25, 1,969.31 and 581.43 is: 872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.25 : 1,969.31 = 581.43 : x
  2. Step 2: Convert to fraction form
    1,312.25/1,969.31 = 581.43/x
  3. Step 3: Cross multiply
    1,312.25x = 1,969.31 × 581.43
  4. Step 4: Simplify right side
    1,312.25x = 1,145,013.67
  5. Step 5: Solve for x
    x = 1,145,013.67/1,312.25
  6. Step 6: Final answer
    x = 872.56

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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.