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Finding the Fourth Proportional to 1,204.08, 1,805.38 and 382.12

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Solution

The fourth proportional to 1,204.08, 1,805.38 and 382.12 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.08 : 1,805.38 = 382.12 : x
  2. Step 2: Convert to fraction form
    1,204.08/1,805.38 = 382.12/x
  3. Step 3: Cross multiply
    1,204.08x = 1,805.38 × 382.12
  4. Step 4: Simplify right side
    1,204.08x = 689,871.81
  5. Step 5: Solve for x
    x = 689,871.81/1,204.08
  6. Step 6: Final answer
    x = 572.95

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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.