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Finding the Fourth Proportional to 926.97, 1,278.68 and 768.68

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Solution

The fourth proportional to 926.97, 1,278.68 and 768.68 is: 1,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.97 : 1,278.68 = 768.68 : x
  2. Step 2: Convert to fraction form
    926.97/1,278.68 = 768.68/x
  3. Step 3: Cross multiply
    926.97x = 1,278.68 × 768.68
  4. Step 4: Simplify right side
    926.97x = 982,885.51
  5. Step 5: Solve for x
    x = 982,885.51/926.97
  6. Step 6: Final answer
    x = 1,060.32

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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.