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Finding the Fourth Proportional to 853.46, 1,278.57 and 506.06

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Solution

The fourth proportional to 853.46, 1,278.57 and 506.06 is: 758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.46 : 1,278.57 = 506.06 : x
  2. Step 2: Convert to fraction form
    853.46/1,278.57 = 506.06/x
  3. Step 3: Cross multiply
    853.46x = 1,278.57 × 506.06
  4. Step 4: Simplify right side
    853.46x = 647,033.13
  5. Step 5: Solve for x
    x = 647,033.13/853.46
  6. Step 6: Final answer
    x = 758.13

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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.