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Finding the Fourth Proportional to 985.36, 1,359.90 and 565.75

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Solution

The fourth proportional to 985.36, 1,359.90 and 565.75 is: 780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,359.90 = 565.75 : x
  2. Step 2: Convert to fraction form
    985.36/1,359.90 = 565.75/x
  3. Step 3: Cross multiply
    985.36x = 1,359.90 × 565.75
  4. Step 4: Simplify right side
    985.36x = 769,363.43
  5. Step 5: Solve for x
    x = 769,363.43/985.36
  6. Step 6: Final answer
    x = 780.79

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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.