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Finding the Fourth Proportional to 901.10, 1,350.60 and 414.20

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Solution

The fourth proportional to 901.10, 1,350.60 and 414.20 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.10 : 1,350.60 = 414.20 : x
  2. Step 2: Convert to fraction form
    901.10/1,350.60 = 414.20/x
  3. Step 3: Cross multiply
    901.10x = 1,350.60 × 414.20
  4. Step 4: Simplify right side
    901.10x = 559,418.52
  5. Step 5: Solve for x
    x = 559,418.52/901.10
  6. Step 6: Final answer
    x = 620.82

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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.