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Finding the Fourth Proportional to 826.76, 1,240.20 and 279.08

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Solution

The fourth proportional to 826.76, 1,240.20 and 279.08 is: 418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.76 : 1,240.20 = 279.08 : x
  2. Step 2: Convert to fraction form
    826.76/1,240.20 = 279.08/x
  3. Step 3: Cross multiply
    826.76x = 1,240.20 × 279.08
  4. Step 4: Simplify right side
    826.76x = 346,115.02
  5. Step 5: Solve for x
    x = 346,115.02/826.76
  6. Step 6: Final answer
    x = 418.64

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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.