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Finding the Fourth Proportional to 1,268.61, 1,902.88 and 402.92

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Solution

The fourth proportional to 1,268.61, 1,902.88 and 402.92 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.61 : 1,902.88 = 402.92 : x
  2. Step 2: Convert to fraction form
    1,268.61/1,902.88 = 402.92/x
  3. Step 3: Cross multiply
    1,268.61x = 1,902.88 × 402.92
  4. Step 4: Simplify right side
    1,268.61x = 766,708.41
  5. Step 5: Solve for x
    x = 766,708.41/1,268.61
  6. Step 6: Final answer
    x = 604.37

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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.