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Finding the Fourth Proportional to 902.34, 1,353.51 and 771.48

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Solution

The fourth proportional to 902.34, 1,353.51 and 771.48 is: 1,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.34 : 1,353.51 = 771.48 : x
  2. Step 2: Convert to fraction form
    902.34/1,353.51 = 771.48/x
  3. Step 3: Cross multiply
    902.34x = 1,353.51 × 771.48
  4. Step 4: Simplify right side
    902.34x = 1,044,205.89
  5. Step 5: Solve for x
    x = 1,044,205.89/902.34
  6. Step 6: Final answer
    x = 1,157.22

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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.