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Finding the Fourth Proportional to 891.72, 1,229.76 and 829.32

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Solution

The fourth proportional to 891.72, 1,229.76 and 829.32 is: 1,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.72 : 1,229.76 = 829.32 : x
  2. Step 2: Convert to fraction form
    891.72/1,229.76 = 829.32/x
  3. Step 3: Cross multiply
    891.72x = 1,229.76 × 829.32
  4. Step 4: Simplify right side
    891.72x = 1,019,864.56
  5. Step 5: Solve for x
    x = 1,019,864.56/891.72
  6. Step 6: Final answer
    x = 1,143.70

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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.