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Finding the Fourth Proportional to 984.77, 1,359.05 and 565.26

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Solution

The fourth proportional to 984.77, 1,359.05 and 565.26 is: 780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.77 : 1,359.05 = 565.26 : x
  2. Step 2: Convert to fraction form
    984.77/1,359.05 = 565.26/x
  3. Step 3: Cross multiply
    984.77x = 1,359.05 × 565.26
  4. Step 4: Simplify right side
    984.77x = 768,208.68
  5. Step 5: Solve for x
    x = 768,208.68/984.77
  6. Step 6: Final answer
    x = 780.09

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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.