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Finding the Fourth Proportional to 1,203.81, 1,805.79 and 338.19

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Solution

The fourth proportional to 1,203.81, 1,805.79 and 338.19 is: 507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.81 : 1,805.79 = 338.19 : x
  2. Step 2: Convert to fraction form
    1,203.81/1,805.79 = 338.19/x
  3. Step 3: Cross multiply
    1,203.81x = 1,805.79 × 338.19
  4. Step 4: Simplify right side
    1,203.81x = 610,700.12
  5. Step 5: Solve for x
    x = 610,700.12/1,203.81
  6. Step 6: Final answer
    x = 507.31

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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.