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Finding the Fourth Proportional to 901.71, 1,352.61 and 414.43

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Solution

The fourth proportional to 901.71, 1,352.61 and 414.43 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.71 : 1,352.61 = 414.43 : x
  2. Step 2: Convert to fraction form
    901.71/1,352.61 = 414.43/x
  3. Step 3: Cross multiply
    901.71x = 1,352.61 × 414.43
  4. Step 4: Simplify right side
    901.71x = 560,558.78
  5. Step 5: Solve for x
    x = 560,558.78/901.71
  6. Step 6: Final answer
    x = 621.66

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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.