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Finding the Fourth Proportional to 1,268.89, 1,904.24 and 748.58

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Solution

The fourth proportional to 1,268.89, 1,904.24 and 748.58 is: 1,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.89 : 1,904.24 = 748.58 : x
  2. Step 2: Convert to fraction form
    1,268.89/1,904.24 = 748.58/x
  3. Step 3: Cross multiply
    1,268.89x = 1,904.24 × 748.58
  4. Step 4: Simplify right side
    1,268.89x = 1,425,468.33
  5. Step 5: Solve for x
    x = 1,425,468.33/1,268.89
  6. Step 6: Final answer
    x = 1,123.40

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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.