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Finding the Fourth Proportional to 1,268.13, 1,902.29 and 402.45

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Solution

The fourth proportional to 1,268.13, 1,902.29 and 402.45 is: 603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.13 : 1,902.29 = 402.45 : x
  2. Step 2: Convert to fraction form
    1,268.13/1,902.29 = 402.45/x
  3. Step 3: Cross multiply
    1,268.13x = 1,902.29 × 402.45
  4. Step 4: Simplify right side
    1,268.13x = 765,576.61
  5. Step 5: Solve for x
    x = 765,576.61/1,268.13
  6. Step 6: Final answer
    x = 603.71

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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.