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Finding the Fourth Proportional to 886.38, 1,336.21 and 826.91

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Solution

The fourth proportional to 886.38, 1,336.21 and 826.91 is: 1,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.38 : 1,336.21 = 826.91 : x
  2. Step 2: Convert to fraction form
    886.38/1,336.21 = 826.91/x
  3. Step 3: Cross multiply
    886.38x = 1,336.21 × 826.91
  4. Step 4: Simplify right side
    886.38x = 1,104,925.65
  5. Step 5: Solve for x
    x = 1,104,925.65/886.38
  6. Step 6: Final answer
    x = 1,246.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.