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Finding the Fourth Proportional to 1,204.34, 1,806.78 and 382.74

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Solution

The fourth proportional to 1,204.34, 1,806.78 and 382.74 is: 574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.34 : 1,806.78 = 382.74 : x
  2. Step 2: Convert to fraction form
    1,204.34/1,806.78 = 382.74/x
  3. Step 3: Cross multiply
    1,204.34x = 1,806.78 × 382.74
  4. Step 4: Simplify right side
    1,204.34x = 691,526.98
  5. Step 5: Solve for x
    x = 691,526.98/1,204.34
  6. Step 6: Final answer
    x = 574.20

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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.