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Finding the Fourth Proportional to 1,203.97, 1,805.49 and 473.15

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Solution

The fourth proportional to 1,203.97, 1,805.49 and 473.15 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.97 : 1,805.49 = 473.15 : x
  2. Step 2: Convert to fraction form
    1,203.97/1,805.49 = 473.15/x
  3. Step 3: Cross multiply
    1,203.97x = 1,805.49 × 473.15
  4. Step 4: Simplify right side
    1,203.97x = 854,256.20
  5. Step 5: Solve for x
    x = 854,256.20/1,203.97
  6. Step 6: Final answer
    x = 709.54

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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.