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Finding the Fourth Proportional to 1,203.78, 1,805.78 and 473.19

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Solution

The fourth proportional to 1,203.78, 1,805.78 and 473.19 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.78 : 1,805.78 = 473.19 : x
  2. Step 2: Convert to fraction form
    1,203.78/1,805.78 = 473.19/x
  3. Step 3: Cross multiply
    1,203.78x = 1,805.78 × 473.19
  4. Step 4: Simplify right side
    1,203.78x = 854,471.01
  5. Step 5: Solve for x
    x = 854,471.01/1,203.78
  6. Step 6: Final answer
    x = 709.82

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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.