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Finding the Fourth Proportional to 799.43, 1,192.30 and 733.82

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Solution

The fourth proportional to 799.43, 1,192.30 and 733.82 is: 1,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.43 : 1,192.30 = 733.82 : x
  2. Step 2: Convert to fraction form
    799.43/1,192.30 = 733.82/x
  3. Step 3: Cross multiply
    799.43x = 1,192.30 × 733.82
  4. Step 4: Simplify right side
    799.43x = 874,925.79
  5. Step 5: Solve for x
    x = 874,925.79/799.43
  6. Step 6: Final answer
    x = 1,094.44

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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.