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Finding the Fourth Proportional to 1,539.69, 2,309.27 and 565.53

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Solution

The fourth proportional to 1,539.69, 2,309.27 and 565.53 is: 848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.69 : 2,309.27 = 565.53 : x
  2. Step 2: Convert to fraction form
    1,539.69/2,309.27 = 565.53/x
  3. Step 3: Cross multiply
    1,539.69x = 2,309.27 × 565.53
  4. Step 4: Simplify right side
    1,539.69x = 1,305,958.64
  5. Step 5: Solve for x
    x = 1,305,958.64/1,539.69
  6. Step 6: Final answer
    x = 848.20

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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.