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Finding the Fourth Proportional to 1,464.92, 2,197.61 and 490.80

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Solution

The fourth proportional to 1,464.92, 2,197.61 and 490.80 is: 736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.92 : 2,197.61 = 490.80 : x
  2. Step 2: Convert to fraction form
    1,464.92/2,197.61 = 490.80/x
  3. Step 3: Cross multiply
    1,464.92x = 2,197.61 × 490.80
  4. Step 4: Simplify right side
    1,464.92x = 1,078,586.99
  5. Step 5: Solve for x
    x = 1,078,586.99/1,464.92
  6. Step 6: Final answer
    x = 736.28

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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.