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Finding the Fourth Proportional to 1,220.32, 1,830.51 and 398.68

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Solution

The fourth proportional to 1,220.32, 1,830.51 and 398.68 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.32 : 1,830.51 = 398.68 : x
  2. Step 2: Convert to fraction form
    1,220.32/1,830.51 = 398.68/x
  3. Step 3: Cross multiply
    1,220.32x = 1,830.51 × 398.68
  4. Step 4: Simplify right side
    1,220.32x = 729,787.73
  5. Step 5: Solve for x
    x = 729,787.73/1,220.32
  6. Step 6: Final answer
    x = 598.03

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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.