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Finding the Fourth Proportional to 1,268.44, 1,902.66 and 390.94

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Solution

The fourth proportional to 1,268.44, 1,902.66 and 390.94 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.44 : 1,902.66 = 390.94 : x
  2. Step 2: Convert to fraction form
    1,268.44/1,902.66 = 390.94/x
  3. Step 3: Cross multiply
    1,268.44x = 1,902.66 × 390.94
  4. Step 4: Simplify right side
    1,268.44x = 743,825.90
  5. Step 5: Solve for x
    x = 743,825.90/1,268.44
  6. Step 6: Final answer
    x = 586.41

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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.