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Finding the Fourth Proportional to 926.24, 1,278.14 and 506.57

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Solution

The fourth proportional to 926.24, 1,278.14 and 506.57 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.24 : 1,278.14 = 506.57 : x
  2. Step 2: Convert to fraction form
    926.24/1,278.14 = 506.57/x
  3. Step 3: Cross multiply
    926.24x = 1,278.14 × 506.57
  4. Step 4: Simplify right side
    926.24x = 647,458.46
  5. Step 5: Solve for x
    x = 647,458.46/926.24
  6. Step 6: Final answer
    x = 699.02

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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.