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Finding the Fourth Proportional to 3,072.24, 4,608.12 and 763.68

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Solution

The fourth proportional to 3,072.24, 4,608.12 and 763.68 is: 1,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.24 : 4,608.12 = 763.68 : x
  2. Step 2: Convert to fraction form
    3,072.24/4,608.12 = 763.68/x
  3. Step 3: Cross multiply
    3,072.24x = 4,608.12 × 763.68
  4. Step 4: Simplify right side
    3,072.24x = 3,519,129.08
  5. Step 5: Solve for x
    x = 3,519,129.08/3,072.24
  6. Step 6: Final answer
    x = 1,145.46

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1.5x scale

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.