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Finding the Fourth Proportional to 926.35, 1,277.22 and 576.43

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Solution

The fourth proportional to 926.35, 1,277.22 and 576.43 is: 794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.35 : 1,277.22 = 576.43 : x
  2. Step 2: Convert to fraction form
    926.35/1,277.22 = 576.43/x
  3. Step 3: Cross multiply
    926.35x = 1,277.22 × 576.43
  4. Step 4: Simplify right side
    926.35x = 736,227.92
  5. Step 5: Solve for x
    x = 736,227.92/926.35
  6. Step 6: Final answer
    x = 794.76

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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.