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Finding the Fourth Proportional to 1,204.35, 1,806.57 and 382.65

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Solution

The fourth proportional to 1,204.35, 1,806.57 and 382.65 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.35 : 1,806.57 = 382.65 : x
  2. Step 2: Convert to fraction form
    1,204.35/1,806.57 = 382.65/x
  3. Step 3: Cross multiply
    1,204.35x = 1,806.57 × 382.65
  4. Step 4: Simplify right side
    1,204.35x = 691,284.01
  5. Step 5: Solve for x
    x = 691,284.01/1,204.35
  6. Step 6: Final answer
    x = 573.99

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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.