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Finding the Fourth Proportional to 1,229.58, 1,840.32 and 680.40

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Solution

The fourth proportional to 1,229.58, 1,840.32 and 680.40 is: 1,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.58 : 1,840.32 = 680.40 : x
  2. Step 2: Convert to fraction form
    1,229.58/1,840.32 = 680.40/x
  3. Step 3: Cross multiply
    1,229.58x = 1,840.32 × 680.40
  4. Step 4: Simplify right side
    1,229.58x = 1,252,153.73
  5. Step 5: Solve for x
    x = 1,252,153.73/1,229.58
  6. Step 6: Final answer
    x = 1,018.36

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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.