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Finding the Fourth Proportional to 1,221.40, 1,832.10 and 490.60

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Solution

The fourth proportional to 1,221.40, 1,832.10 and 490.60 is: 735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.40 : 1,832.10 = 490.60 : x
  2. Step 2: Convert to fraction form
    1,221.40/1,832.10 = 490.60/x
  3. Step 3: Cross multiply
    1,221.40x = 1,832.10 × 490.60
  4. Step 4: Simplify right side
    1,221.40x = 898,828.26
  5. Step 5: Solve for x
    x = 898,828.26/1,221.40
  6. Step 6: Final answer
    x = 735.90

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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.