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Finding the Fourth Proportional to 826.74, 1,240.28 and 278.88

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Solution

The fourth proportional to 826.74, 1,240.28 and 278.88 is: 418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.74 : 1,240.28 = 278.88 : x
  2. Step 2: Convert to fraction form
    826.74/1,240.28 = 278.88/x
  3. Step 3: Cross multiply
    826.74x = 1,240.28 × 278.88
  4. Step 4: Simplify right side
    826.74x = 345,884.29
  5. Step 5: Solve for x
    x = 345,884.29/826.74
  6. Step 6: Final answer
    x = 418.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.