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Finding the Fourth Proportional to 872.05, 1,306.36 and 506.07

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Solution

The fourth proportional to 872.05, 1,306.36 and 506.07 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.05 : 1,306.36 = 506.07 : x
  2. Step 2: Convert to fraction form
    872.05/1,306.36 = 506.07/x
  3. Step 3: Cross multiply
    872.05x = 1,306.36 × 506.07
  4. Step 4: Simplify right side
    872.05x = 661,103.07
  5. Step 5: Solve for x
    x = 661,103.07/872.05
  6. Step 6: Final answer
    x = 758.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.