Home / 1,220.30-1,829.36-440.12

Finding the Fourth Proportional to 1,220.30, 1,829.36 and 440.12

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Solution

The fourth proportional to 1,220.30, 1,829.36 and 440.12 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.30 : 1,829.36 = 440.12 : x
  2. Step 2: Convert to fraction form
    1,220.30/1,829.36 = 440.12/x
  3. Step 3: Cross multiply
    1,220.30x = 1,829.36 × 440.12
  4. Step 4: Simplify right side
    1,220.30x = 805,137.92
  5. Step 5: Solve for x
    x = 805,137.92/1,220.30
  6. Step 6: Final answer
    x = 659.79

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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.