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Finding the Fourth Proportional to 902.80, 1,354.20 and 800.20

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Solution

The fourth proportional to 902.80, 1,354.20 and 800.20 is: 1,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.80 : 1,354.20 = 800.20 : x
  2. Step 2: Convert to fraction form
    902.80/1,354.20 = 800.20/x
  3. Step 3: Cross multiply
    902.80x = 1,354.20 × 800.20
  4. Step 4: Simplify right side
    902.80x = 1,083,630.84
  5. Step 5: Solve for x
    x = 1,083,630.84/902.80
  6. Step 6: Final answer
    x = 1,200.30

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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.