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Finding the Fourth Proportional to 1,467.73, 2,201.72 and 493.98

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Solution

The fourth proportional to 1,467.73, 2,201.72 and 493.98 is: 741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.73 : 2,201.72 = 493.98 : x
  2. Step 2: Convert to fraction form
    1,467.73/2,201.72 = 493.98/x
  3. Step 3: Cross multiply
    1,467.73x = 2,201.72 × 493.98
  4. Step 4: Simplify right side
    1,467.73x = 1,087,605.65
  5. Step 5: Solve for x
    x = 1,087,605.65/1,467.73
  6. Step 6: Final answer
    x = 741.01

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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.