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Finding the Fourth Proportional to 720.80, 994.68 and 406.11

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Solution

The fourth proportional to 720.80, 994.68 and 406.11 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.80 : 994.68 = 406.11 : x
  2. Step 2: Convert to fraction form
    720.80/994.68 = 406.11/x
  3. Step 3: Cross multiply
    720.80x = 994.68 × 406.11
  4. Step 4: Simplify right side
    720.80x = 403,953.22
  5. Step 5: Solve for x
    x = 403,953.22/720.80
  6. Step 6: Final answer
    x = 560.42

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