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Finding the Fourth Proportional to 1,268.46, 1,902.49 and 402.77

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Solution

The fourth proportional to 1,268.46, 1,902.49 and 402.77 is: 604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.46 : 1,902.49 = 402.77 : x
  2. Step 2: Convert to fraction form
    1,268.46/1,902.49 = 402.77/x
  3. Step 3: Cross multiply
    1,268.46x = 1,902.49 × 402.77
  4. Step 4: Simplify right side
    1,268.46x = 766,269.65
  5. Step 5: Solve for x
    x = 766,269.65/1,268.46
  6. Step 6: Final answer
    x = 604.09

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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.