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Finding the Fourth Proportional to 1,109.22, 1,663.81 and 415.75

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Solution

The fourth proportional to 1,109.22, 1,663.81 and 415.75 is: 623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.22 : 1,663.81 = 415.75 : x
  2. Step 2: Convert to fraction form
    1,109.22/1,663.81 = 415.75/x
  3. Step 3: Cross multiply
    1,109.22x = 1,663.81 × 415.75
  4. Step 4: Simplify right side
    1,109.22x = 691,729.01
  5. Step 5: Solve for x
    x = 691,729.01/1,109.22
  6. Step 6: Final answer
    x = 623.62

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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.