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Finding the Fourth Proportional to 834, 1,151.16 and 523.56

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Solution

The fourth proportional to 834, 1,151.16 and 523.56 is: 722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,151.16 = 523.56 : x
  2. Step 2: Convert to fraction form
    834/1,151.16 = 523.56/x
  3. Step 3: Cross multiply
    834x = 1,151.16 × 523.56
  4. Step 4: Simplify right side
    834x = 602,701.33
  5. Step 5: Solve for x
    x = 602,701.33/834
  6. Step 6: Final answer
    x = 722.66

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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.