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Finding the Fourth Proportional to 720.46, 994.36 and 564.94

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Solution

The fourth proportional to 720.46, 994.36 and 564.94 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 994.36 = 564.94 : x
  2. Step 2: Convert to fraction form
    720.46/994.36 = 564.94/x
  3. Step 3: Cross multiply
    720.46x = 994.36 × 564.94
  4. Step 4: Simplify right side
    720.46x = 561,747.35
  5. Step 5: Solve for x
    x = 561,747.35/720.46
  6. Step 6: Final answer
    x = 779.71

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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.