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Finding the Fourth Proportional to 796.32, 1,191.49 and 565.77

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Solution

The fourth proportional to 796.32, 1,191.49 and 565.77 is: 846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,191.49 = 565.77 : x
  2. Step 2: Convert to fraction form
    796.32/1,191.49 = 565.77/x
  3. Step 3: Cross multiply
    796.32x = 1,191.49 × 565.77
  4. Step 4: Simplify right side
    796.32x = 674,109.30
  5. Step 5: Solve for x
    x = 674,109.30/796.32
  6. Step 6: Final answer
    x = 846.53

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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.