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Finding the Fourth Proportional to 834.75, 1,151.97 and 524.25

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Solution

The fourth proportional to 834.75, 1,151.97 and 524.25 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,151.97 = 524.25 : x
  2. Step 2: Convert to fraction form
    834.75/1,151.97 = 524.25/x
  3. Step 3: Cross multiply
    834.75x = 1,151.97 × 524.25
  4. Step 4: Simplify right side
    834.75x = 603,920.27
  5. Step 5: Solve for x
    x = 603,920.27/834.75
  6. Step 6: Final answer
    x = 723.47

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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.