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Finding the Fourth Proportional to 720.73, 994.62 and 406

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Solution

The fourth proportional to 720.73, 994.62 and 406 is: 560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.73 : 994.62 = 406 : x
  2. Step 2: Convert to fraction form
    720.73/994.62 = 406/x
  3. Step 3: Cross multiply
    720.73x = 994.62 × 406
  4. Step 4: Simplify right side
    720.73x = 403,815.72
  5. Step 5: Solve for x
    x = 403,815.72/720.73
  6. Step 6: Final answer
    x = 560.29

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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.