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Finding the Fourth Proportional to 1,215.31, 1,821.44 and 660.01

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Solution

The fourth proportional to 1,215.31, 1,821.44 and 660.01 is: 989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.31 : 1,821.44 = 660.01 : x
  2. Step 2: Convert to fraction form
    1,215.31/1,821.44 = 660.01/x
  3. Step 3: Cross multiply
    1,215.31x = 1,821.44 × 660.01
  4. Step 4: Simplify right side
    1,215.31x = 1,202,160.76
  5. Step 5: Solve for x
    x = 1,202,160.76/1,215.31
  6. Step 6: Final answer
    x = 989.18

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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.