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Finding the Fourth Proportional to 1,204.16, 1,806.64 and 382.55

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Solution

The fourth proportional to 1,204.16, 1,806.64 and 382.55 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.16 : 1,806.64 = 382.55 : x
  2. Step 2: Convert to fraction form
    1,204.16/1,806.64 = 382.55/x
  3. Step 3: Cross multiply
    1,204.16x = 1,806.64 × 382.55
  4. Step 4: Simplify right side
    1,204.16x = 691,120.14
  5. Step 5: Solve for x
    x = 691,120.14/1,204.16
  6. Step 6: Final answer
    x = 573.95

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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.