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Finding the Fourth Proportional to 1,268.44, 1,902.66 and 652.32

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Solution

The fourth proportional to 1,268.44, 1,902.66 and 652.32 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.44 : 1,902.66 = 652.32 : x
  2. Step 2: Convert to fraction form
    1,268.44/1,902.66 = 652.32/x
  3. Step 3: Cross multiply
    1,268.44x = 1,902.66 × 652.32
  4. Step 4: Simplify right side
    1,268.44x = 1,241,140.73
  5. Step 5: Solve for x
    x = 1,241,140.73/1,268.44
  6. Step 6: Final answer
    x = 978.48

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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.