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Finding the Fourth Proportional to 901.82, 1,353.16 and 414.82

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Solution

The fourth proportional to 901.82, 1,353.16 and 414.82 is: 622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.82 : 1,353.16 = 414.82 : x
  2. Step 2: Convert to fraction form
    901.82/1,353.16 = 414.82/x
  3. Step 3: Cross multiply
    901.82x = 1,353.16 × 414.82
  4. Step 4: Simplify right side
    901.82x = 561,317.83
  5. Step 5: Solve for x
    x = 561,317.83/901.82
  6. Step 6: Final answer
    x = 622.43

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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.