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Finding the Fourth Proportional to 902.03, 1,353.14 and 414.95

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Solution

The fourth proportional to 902.03, 1,353.14 and 414.95 is: 622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.03 : 1,353.14 = 414.95 : x
  2. Step 2: Convert to fraction form
    902.03/1,353.14 = 414.95/x
  3. Step 3: Cross multiply
    902.03x = 1,353.14 × 414.95
  4. Step 4: Simplify right side
    902.03x = 561,476.60
  5. Step 5: Solve for x
    x = 561,476.60/902.03
  6. Step 6: Final answer
    x = 622.46

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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.