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Finding the Fourth Proportional to 3,204.50, 4,806.75 and 772.50

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Solution

The fourth proportional to 3,204.50, 4,806.75 and 772.50 is: 1,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.50 : 4,806.75 = 772.50 : x
  2. Step 2: Convert to fraction form
    3,204.50/4,806.75 = 772.50/x
  3. Step 3: Cross multiply
    3,204.50x = 4,806.75 × 772.50
  4. Step 4: Simplify right side
    3,204.50x = 3,713,214.38
  5. Step 5: Solve for x
    x = 3,713,214.38/3,204.50
  6. Step 6: Final answer
    x = 1,158.75

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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.