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Finding the Fourth Proportional to 926.21, 1,278.16 and 506.57

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Solution

The fourth proportional to 926.21, 1,278.16 and 506.57 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.21 : 1,278.16 = 506.57 : x
  2. Step 2: Convert to fraction form
    926.21/1,278.16 = 506.57/x
  3. Step 3: Cross multiply
    926.21x = 1,278.16 × 506.57
  4. Step 4: Simplify right side
    926.21x = 647,469.85
  5. Step 5: Solve for x
    x = 647,469.85/926.21
  6. Step 6: Final answer
    x = 699.05

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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.