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Finding the Fourth Proportional to 1,220.36, 1,829.94 and 440.32

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Solution

The fourth proportional to 1,220.36, 1,829.94 and 440.32 is: 660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.36 : 1,829.94 = 440.32 : x
  2. Step 2: Convert to fraction form
    1,220.36/1,829.94 = 440.32/x
  3. Step 3: Cross multiply
    1,220.36x = 1,829.94 × 440.32
  4. Step 4: Simplify right side
    1,220.36x = 805,759.18
  5. Step 5: Solve for x
    x = 805,759.18/1,220.36
  6. Step 6: Final answer
    x = 660.26

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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.