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Finding the Fourth Proportional to 1,309.24, 1,962.91 and 660.43

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Solution

The fourth proportional to 1,309.24, 1,962.91 and 660.43 is: 990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.24 : 1,962.91 = 660.43 : x
  2. Step 2: Convert to fraction form
    1,309.24/1,962.91 = 660.43/x
  3. Step 3: Cross multiply
    1,309.24x = 1,962.91 × 660.43
  4. Step 4: Simplify right side
    1,309.24x = 1,296,364.65
  5. Step 5: Solve for x
    x = 1,296,364.65/1,309.24
  6. Step 6: Final answer
    x = 990.17

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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.