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Finding the Fourth Proportional to 1,220.44, 1,830.44 and 398.53

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Solution

The fourth proportional to 1,220.44, 1,830.44 and 398.53 is: 597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.44 : 1,830.44 = 398.53 : x
  2. Step 2: Convert to fraction form
    1,220.44/1,830.44 = 398.53/x
  3. Step 3: Cross multiply
    1,220.44x = 1,830.44 × 398.53
  4. Step 4: Simplify right side
    1,220.44x = 729,485.25
  5. Step 5: Solve for x
    x = 729,485.25/1,220.44
  6. Step 6: Final answer
    x = 597.72

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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.