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Finding the Fourth Proportional to 834.72, 1,151.72 and 551.12

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Solution

The fourth proportional to 834.72, 1,151.72 and 551.12 is: 760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.72 : 1,151.72 = 551.12 : x
  2. Step 2: Convert to fraction form
    834.72/1,151.72 = 551.12/x
  3. Step 3: Cross multiply
    834.72x = 1,151.72 × 551.12
  4. Step 4: Simplify right side
    834.72x = 634,735.93
  5. Step 5: Solve for x
    x = 634,735.93/834.72
  6. Step 6: Final answer
    x = 760.42

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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.