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Finding the Fourth Proportional to 1,481.65, 2,222.37 and 507.73

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Solution

The fourth proportional to 1,481.65, 2,222.37 and 507.73 is: 761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.65 : 2,222.37 = 507.73 : x
  2. Step 2: Convert to fraction form
    1,481.65/2,222.37 = 507.73/x
  3. Step 3: Cross multiply
    1,481.65x = 2,222.37 × 507.73
  4. Step 4: Simplify right side
    1,481.65x = 1,128,363.92
  5. Step 5: Solve for x
    x = 1,128,363.92/1,481.65
  6. Step 6: Final answer
    x = 761.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.