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Finding the Fourth Proportional to 720.94, 994.84 and 406.21

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Solution

The fourth proportional to 720.94, 994.84 and 406.21 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.94 : 994.84 = 406.21 : x
  2. Step 2: Convert to fraction form
    720.94/994.84 = 406.21/x
  3. Step 3: Cross multiply
    720.94x = 994.84 × 406.21
  4. Step 4: Simplify right side
    720.94x = 404,113.96
  5. Step 5: Solve for x
    x = 404,113.96/720.94
  6. Step 6: Final answer
    x = 560.54

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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.