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Finding the Fourth Proportional to 940.89, 1,297.25 and 604.20

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Solution

The fourth proportional to 940.89, 1,297.25 and 604.20 is: 833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.89 : 1,297.25 = 604.20 : x
  2. Step 2: Convert to fraction form
    940.89/1,297.25 = 604.20/x
  3. Step 3: Cross multiply
    940.89x = 1,297.25 × 604.20
  4. Step 4: Simplify right side
    940.89x = 783,796.17
  5. Step 5: Solve for x
    x = 783,796.17/940.89
  6. Step 6: Final answer
    x = 833.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.