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Finding the Fourth Proportional to 985.85, 1,360.08 and 565.97

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Solution

The fourth proportional to 985.85, 1,360.08 and 565.97 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.85 : 1,360.08 = 565.97 : x
  2. Step 2: Convert to fraction form
    985.85/1,360.08 = 565.97/x
  3. Step 3: Cross multiply
    985.85x = 1,360.08 × 565.97
  4. Step 4: Simplify right side
    985.85x = 769,757.68
  5. Step 5: Solve for x
    x = 769,757.68/985.85
  6. Step 6: Final answer
    x = 780.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.