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Finding the Fourth Proportional to 926.11, 1,278.06 and 506.47

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Solution

The fourth proportional to 926.11, 1,278.06 and 506.47 is: 698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.11 : 1,278.06 = 506.47 : x
  2. Step 2: Convert to fraction form
    926.11/1,278.06 = 506.47/x
  3. Step 3: Cross multiply
    926.11x = 1,278.06 × 506.47
  4. Step 4: Simplify right side
    926.11x = 647,299.05
  5. Step 5: Solve for x
    x = 647,299.05/926.11
  6. Step 6: Final answer
    x = 698.94

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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.