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Finding the Fourth Proportional to 902.88, 1,353.56 and 822.64

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Solution

The fourth proportional to 902.88, 1,353.56 and 822.64 is: 1,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.88 : 1,353.56 = 822.64 : x
  2. Step 2: Convert to fraction form
    902.88/1,353.56 = 822.64/x
  3. Step 3: Cross multiply
    902.88x = 1,353.56 × 822.64
  4. Step 4: Simplify right side
    902.88x = 1,113,492.60
  5. Step 5: Solve for x
    x = 1,113,492.60/902.88
  6. Step 6: Final answer
    x = 1,233.27

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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.