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Finding the Fourth Proportional to 1,374.42, 2,062.33 and 634.03

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Solution

The fourth proportional to 1,374.42, 2,062.33 and 634.03 is: 951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.42 : 2,062.33 = 634.03 : x
  2. Step 2: Convert to fraction form
    1,374.42/2,062.33 = 634.03/x
  3. Step 3: Cross multiply
    1,374.42x = 2,062.33 × 634.03
  4. Step 4: Simplify right side
    1,374.42x = 1,307,579.09
  5. Step 5: Solve for x
    x = 1,307,579.09/1,374.42
  6. Step 6: Final answer
    x = 951.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.