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Finding the Fourth Proportional to 605.67, 902.83 and 566.72

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Solution

The fourth proportional to 605.67, 902.83 and 566.72 is: 844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.67 : 902.83 = 566.72 : x
  2. Step 2: Convert to fraction form
    605.67/902.83 = 566.72/x
  3. Step 3: Cross multiply
    605.67x = 902.83 × 566.72
  4. Step 4: Simplify right side
    605.67x = 511,645.89
  5. Step 5: Solve for x
    x = 511,645.89/605.67
  6. Step 6: Final answer
    x = 844.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.