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Finding the Fourth Proportional to 886.42, 1,217.96 and 829.54

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Solution

The fourth proportional to 886.42, 1,217.96 and 829.54 is: 1,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.42 : 1,217.96 = 829.54 : x
  2. Step 2: Convert to fraction form
    886.42/1,217.96 = 829.54/x
  3. Step 3: Cross multiply
    886.42x = 1,217.96 × 829.54
  4. Step 4: Simplify right side
    886.42x = 1,010,346.54
  5. Step 5: Solve for x
    x = 1,010,346.54/886.42
  6. Step 6: Final answer
    x = 1,139.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.