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Finding the Fourth Proportional to 901.76, 1,352.91 and 415.09

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Solution

The fourth proportional to 901.76, 1,352.91 and 415.09 is: 622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,352.91 = 415.09 : x
  2. Step 2: Convert to fraction form
    901.76/1,352.91 = 415.09/x
  3. Step 3: Cross multiply
    901.76x = 1,352.91 × 415.09
  4. Step 4: Simplify right side
    901.76x = 561,572.65
  5. Step 5: Solve for x
    x = 561,572.65/901.76
  6. Step 6: Final answer
    x = 622.75

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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.