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Finding the Fourth Proportional to 1,092.42, 1,629.72 and 974.88

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Solution

The fourth proportional to 1,092.42, 1,629.72 and 974.88 is: 1,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.42 : 1,629.72 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,092.42/1,629.72 = 974.88/x
  3. Step 3: Cross multiply
    1,092.42x = 1,629.72 × 974.88
  4. Step 4: Simplify right side
    1,092.42x = 1,588,781.43
  5. Step 5: Solve for x
    x = 1,588,781.43/1,092.42
  6. Step 6: Final answer
    x = 1,454.37

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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.