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Finding the Fourth Proportional to 565.14, 843.95 and 559.03

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Solution

The fourth proportional to 565.14, 843.95 and 559.03 is: 834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.14 : 843.95 = 559.03 : x
  2. Step 2: Convert to fraction form
    565.14/843.95 = 559.03/x
  3. Step 3: Cross multiply
    565.14x = 843.95 × 559.03
  4. Step 4: Simplify right side
    565.14x = 471,793.37
  5. Step 5: Solve for x
    x = 471,793.37/565.14
  6. Step 6: Final answer
    x = 834.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.