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Finding the Fourth Proportional to 1,539.91, 2,310.77 and 566.69

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Solution

The fourth proportional to 1,539.91, 2,310.77 and 566.69 is: 850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.91 : 2,310.77 = 566.69 : x
  2. Step 2: Convert to fraction form
    1,539.91/2,310.77 = 566.69/x
  3. Step 3: Cross multiply
    1,539.91x = 2,310.77 × 566.69
  4. Step 4: Simplify right side
    1,539.91x = 1,309,490.25
  5. Step 5: Solve for x
    x = 1,309,490.25/1,539.91
  6. Step 6: Final answer
    x = 850.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.