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Finding the Fourth Proportional to 985.11, 1,359.65 and 565.74

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Solution

The fourth proportional to 985.11, 1,359.65 and 565.74 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.11 : 1,359.65 = 565.74 : x
  2. Step 2: Convert to fraction form
    985.11/1,359.65 = 565.74/x
  3. Step 3: Cross multiply
    985.11x = 1,359.65 × 565.74
  4. Step 4: Simplify right side
    985.11x = 769,205.56
  5. Step 5: Solve for x
    x = 769,205.56/985.11
  6. Step 6: Final answer
    x = 780.83

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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.