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Finding the Fourth Proportional to 926.16, 1,278.09 and 506.50

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Solution

The fourth proportional to 926.16, 1,278.09 and 506.50 is: 698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.16 : 1,278.09 = 506.50 : x
  2. Step 2: Convert to fraction form
    926.16/1,278.09 = 506.50/x
  3. Step 3: Cross multiply
    926.16x = 1,278.09 × 506.50
  4. Step 4: Simplify right side
    926.16x = 647,351.39
  5. Step 5: Solve for x
    x = 647,351.39/926.16
  6. Step 6: Final answer
    x = 698.96

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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.