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Finding the Fourth Proportional to 826.65, 1,240.57 and 666.27

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Solution

The fourth proportional to 826.65, 1,240.57 and 666.27 is: 999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,240.57 = 666.27 : x
  2. Step 2: Convert to fraction form
    826.65/1,240.57 = 666.27/x
  3. Step 3: Cross multiply
    826.65x = 1,240.57 × 666.27
  4. Step 4: Simplify right side
    826.65x = 826,550.75
  5. Step 5: Solve for x
    x = 826,550.75/826.65
  6. Step 6: Final answer
    x = 999.88

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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.