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Finding the Fourth Proportional to 834, 1,151.19 and 523.50

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Solution

The fourth proportional to 834, 1,151.19 and 523.50 is: 722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,151.19 = 523.50 : x
  2. Step 2: Convert to fraction form
    834/1,151.19 = 523.50/x
  3. Step 3: Cross multiply
    834x = 1,151.19 × 523.50
  4. Step 4: Simplify right side
    834x = 602,647.97
  5. Step 5: Solve for x
    x = 602,647.97/834
  6. Step 6: Final answer
    x = 722.60

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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.