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Finding the Fourth Proportional to 866.69, 1,291.01 and 827.40

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Solution

The fourth proportional to 866.69, 1,291.01 and 827.40 is: 1,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.69 : 1,291.01 = 827.40 : x
  2. Step 2: Convert to fraction form
    866.69/1,291.01 = 827.40/x
  3. Step 3: Cross multiply
    866.69x = 1,291.01 × 827.40
  4. Step 4: Simplify right side
    866.69x = 1,068,181.67
  5. Step 5: Solve for x
    x = 1,068,181.67/866.69
  6. Step 6: Final answer
    x = 1,232.48

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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.