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Finding the Fourth Proportional to 926.19, 1,277.09 and 757.61

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Solution

The fourth proportional to 926.19, 1,277.09 and 757.61 is: 1,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.19 : 1,277.09 = 757.61 : x
  2. Step 2: Convert to fraction form
    926.19/1,277.09 = 757.61/x
  3. Step 3: Cross multiply
    926.19x = 1,277.09 × 757.61
  4. Step 4: Simplify right side
    926.19x = 967,525.98
  5. Step 5: Solve for x
    x = 967,525.98/926.19
  6. Step 6: Final answer
    x = 1,044.63

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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.