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Finding the Fourth Proportional to 1,268.25, 1,902.70 and 898.79

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Solution

The fourth proportional to 1,268.25, 1,902.70 and 898.79 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.25 : 1,902.70 = 898.79 : x
  2. Step 2: Convert to fraction form
    1,268.25/1,902.70 = 898.79/x
  3. Step 3: Cross multiply
    1,268.25x = 1,902.70 × 898.79
  4. Step 4: Simplify right side
    1,268.25x = 1,710,115.97
  5. Step 5: Solve for x
    x = 1,710,115.97/1,268.25
  6. Step 6: Final answer
    x = 1,348.41

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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.