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Finding the Fourth Proportional to 921.43, 1,266.33 and 829.16

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Solution

The fourth proportional to 921.43, 1,266.33 and 829.16 is: 1,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.43 : 1,266.33 = 829.16 : x
  2. Step 2: Convert to fraction form
    921.43/1,266.33 = 829.16/x
  3. Step 3: Cross multiply
    921.43x = 1,266.33 × 829.16
  4. Step 4: Simplify right side
    921.43x = 1,049,995.27
  5. Step 5: Solve for x
    x = 1,049,995.27/921.43
  6. Step 6: Final answer
    x = 1,139.53

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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.