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Finding the Fourth Proportional to 565.71, 847.89 and 531.54

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Solution

The fourth proportional to 565.71, 847.89 and 531.54 is: 796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 847.89 = 531.54 : x
  2. Step 2: Convert to fraction form
    565.71/847.89 = 531.54/x
  3. Step 3: Cross multiply
    565.71x = 847.89 × 531.54
  4. Step 4: Simplify right side
    565.71x = 450,687.45
  5. Step 5: Solve for x
    x = 450,687.45/565.71
  6. Step 6: Final answer
    x = 796.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.