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Finding the Fourth Proportional to 926.97, 1,275.84 and 739.86

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Solution

The fourth proportional to 926.97, 1,275.84 and 739.86 is: 1,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.97 : 1,275.84 = 739.86 : x
  2. Step 2: Convert to fraction form
    926.97/1,275.84 = 739.86/x
  3. Step 3: Cross multiply
    926.97x = 1,275.84 × 739.86
  4. Step 4: Simplify right side
    926.97x = 943,942.98
  5. Step 5: Solve for x
    x = 943,942.98/926.97
  6. Step 6: Final answer
    x = 1,018.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.