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Finding the Fourth Proportional to 1,204.41, 1,806.68 and 382.75

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Solution

The fourth proportional to 1,204.41, 1,806.68 and 382.75 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.41 : 1,806.68 = 382.75 : x
  2. Step 2: Convert to fraction form
    1,204.41/1,806.68 = 382.75/x
  3. Step 3: Cross multiply
    1,204.41x = 1,806.68 × 382.75
  4. Step 4: Simplify right side
    1,204.41x = 691,495.82
  5. Step 5: Solve for x
    x = 691,495.82/1,204.41
  6. Step 6: Final answer
    x = 574.14

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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.