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Finding the Fourth Proportional to 1,268.38, 1,902.62 and 488.28

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Solution

The fourth proportional to 1,268.38, 1,902.62 and 488.28 is: 732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.38 : 1,902.62 = 488.28 : x
  2. Step 2: Convert to fraction form
    1,268.38/1,902.62 = 488.28/x
  3. Step 3: Cross multiply
    1,268.38x = 1,902.62 × 488.28
  4. Step 4: Simplify right side
    1,268.38x = 929,011.29
  5. Step 5: Solve for x
    x = 929,011.29/1,268.38
  6. Step 6: Final answer
    x = 732.44

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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.