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Finding the Fourth Proportional to 733.92, 1,093.26 and 692.88

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Solution

The fourth proportional to 733.92, 1,093.26 and 692.88 is: 1,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.92 : 1,093.26 = 692.88 : x
  2. Step 2: Convert to fraction form
    733.92/1,093.26 = 692.88/x
  3. Step 3: Cross multiply
    733.92x = 1,093.26 × 692.88
  4. Step 4: Simplify right side
    733.92x = 757,497.99
  5. Step 5: Solve for x
    x = 757,497.99/733.92
  6. Step 6: Final answer
    x = 1,032.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.