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Finding the Fourth Proportional to 795.38, 1,191.33 and 565.29

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Solution

The fourth proportional to 795.38, 1,191.33 and 565.29 is: 846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.38 : 1,191.33 = 565.29 : x
  2. Step 2: Convert to fraction form
    795.38/1,191.33 = 565.29/x
  3. Step 3: Cross multiply
    795.38x = 1,191.33 × 565.29
  4. Step 4: Simplify right side
    795.38x = 673,446.94
  5. Step 5: Solve for x
    x = 673,446.94/795.38
  6. Step 6: Final answer
    x = 846.70

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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.