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Finding the Fourth Proportional to 1,481.19, 2,222.00 and 493.68

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Solution

The fourth proportional to 1,481.19, 2,222.00 and 493.68 is: 740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.19 : 2,222.00 = 493.68 : x
  2. Step 2: Convert to fraction form
    1,481.19/2,222.00 = 493.68/x
  3. Step 3: Cross multiply
    1,481.19x = 2,222.00 × 493.68
  4. Step 4: Simplify right side
    1,481.19x = 1,096,954.49
  5. Step 5: Solve for x
    x = 1,096,954.49/1,481.19
  6. Step 6: Final answer
    x = 740.59

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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.