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Finding the Fourth Proportional to 720.75, 994.41 and 405.97

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Solution

The fourth proportional to 720.75, 994.41 and 405.97 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.75 : 994.41 = 405.97 : x
  2. Step 2: Convert to fraction form
    720.75/994.41 = 405.97/x
  3. Step 3: Cross multiply
    720.75x = 994.41 × 405.97
  4. Step 4: Simplify right side
    720.75x = 403,699.66
  5. Step 5: Solve for x
    x = 403,699.66/720.75
  6. Step 6: Final answer
    x = 560.11

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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.