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Finding the Fourth Proportional to 1,203.59, 1,805.38 and 911.68

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Solution

The fourth proportional to 1,203.59, 1,805.38 and 911.68 is: 1,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.59 : 1,805.38 = 911.68 : x
  2. Step 2: Convert to fraction form
    1,203.59/1,805.38 = 911.68/x
  3. Step 3: Cross multiply
    1,203.59x = 1,805.38 × 911.68
  4. Step 4: Simplify right side
    1,203.59x = 1,645,922.05
  5. Step 5: Solve for x
    x = 1,645,922.05/1,203.59
  6. Step 6: Final answer
    x = 1,367.51

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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.