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Finding the Fourth Proportional to 878.22, 1,214.02 and 826.58

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Solution

The fourth proportional to 878.22, 1,214.02 and 826.58 is: 1,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.22 : 1,214.02 = 826.58 : x
  2. Step 2: Convert to fraction form
    878.22/1,214.02 = 826.58/x
  3. Step 3: Cross multiply
    878.22x = 1,214.02 × 826.58
  4. Step 4: Simplify right side
    878.22x = 1,003,488.72
  5. Step 5: Solve for x
    x = 1,003,488.72/878.22
  6. Step 6: Final answer
    x = 1,142.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.