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Finding the Fourth Proportional to 834.43, 1,151.35 and 523.75

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Solution

The fourth proportional to 834.43, 1,151.35 and 523.75 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.43 : 1,151.35 = 523.75 : x
  2. Step 2: Convert to fraction form
    834.43/1,151.35 = 523.75/x
  3. Step 3: Cross multiply
    834.43x = 1,151.35 × 523.75
  4. Step 4: Simplify right side
    834.43x = 603,019.56
  5. Step 5: Solve for x
    x = 603,019.56/834.43
  6. Step 6: Final answer
    x = 722.67

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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.