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Finding the Fourth Proportional to 826.13, 1,239.23 and 278.17

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Solution

The fourth proportional to 826.13, 1,239.23 and 278.17 is: 417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,239.23 = 278.17 : x
  2. Step 2: Convert to fraction form
    826.13/1,239.23 = 278.17/x
  3. Step 3: Cross multiply
    826.13x = 1,239.23 × 278.17
  4. Step 4: Simplify right side
    826.13x = 344,714.21
  5. Step 5: Solve for x
    x = 344,714.21/826.13
  6. Step 6: Final answer
    x = 417.26

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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.