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Finding the Fourth Proportional to 1,268.49, 1,902.72 and 402.81

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Solution

The fourth proportional to 1,268.49, 1,902.72 and 402.81 is: 604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.49 : 1,902.72 = 402.81 : x
  2. Step 2: Convert to fraction form
    1,268.49/1,902.72 = 402.81/x
  3. Step 3: Cross multiply
    1,268.49x = 1,902.72 × 402.81
  4. Step 4: Simplify right side
    1,268.49x = 766,434.64
  5. Step 5: Solve for x
    x = 766,434.64/1,268.49
  6. Step 6: Final answer
    x = 604.21

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Why These Related Problems?

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