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Finding the Fourth Proportional to 1,204.19, 1,805.06 and 473.48

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Solution

The fourth proportional to 1,204.19, 1,805.06 and 473.48 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.19 : 1,805.06 = 473.48 : x
  2. Step 2: Convert to fraction form
    1,204.19/1,805.06 = 473.48/x
  3. Step 3: Cross multiply
    1,204.19x = 1,805.06 × 473.48
  4. Step 4: Simplify right side
    1,204.19x = 854,650.78
  5. Step 5: Solve for x
    x = 854,650.78/1,204.19
  6. Step 6: Final answer
    x = 709.73

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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.