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Finding the Fourth Proportional to 921.29, 1,375.54 and 829.15

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Solution

The fourth proportional to 921.29, 1,375.54 and 829.15 is: 1,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.29 : 1,375.54 = 829.15 : x
  2. Step 2: Convert to fraction form
    921.29/1,375.54 = 829.15/x
  3. Step 3: Cross multiply
    921.29x = 1,375.54 × 829.15
  4. Step 4: Simplify right side
    921.29x = 1,140,523.48
  5. Step 5: Solve for x
    x = 1,140,523.48/921.29
  6. Step 6: Final answer
    x = 1,237.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.