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Finding the Fourth Proportional to 878.22, 1,308.74 and 826.29

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Solution

The fourth proportional to 878.22, 1,308.74 and 826.29 is: 1,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.22 : 1,308.74 = 826.29 : x
  2. Step 2: Convert to fraction form
    878.22/1,308.74 = 826.29/x
  3. Step 3: Cross multiply
    878.22x = 1,308.74 × 826.29
  4. Step 4: Simplify right side
    878.22x = 1,081,394.64
  5. Step 5: Solve for x
    x = 1,081,394.64/878.22
  6. Step 6: Final answer
    x = 1,231.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.