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Finding the Fourth Proportional to 902.82, 1,353.84 and 286.36

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Solution

The fourth proportional to 902.82, 1,353.84 and 286.36 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.82 : 1,353.84 = 286.36 : x
  2. Step 2: Convert to fraction form
    902.82/1,353.84 = 286.36/x
  3. Step 3: Cross multiply
    902.82x = 1,353.84 × 286.36
  4. Step 4: Simplify right side
    902.82x = 387,685.62
  5. Step 5: Solve for x
    x = 387,685.62/902.82
  6. Step 6: Final answer
    x = 429.42

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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.