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Finding the Fourth Proportional to 795.92, 1,193.84 and 363.07

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Solution

The fourth proportional to 795.92, 1,193.84 and 363.07 is: 544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.92 : 1,193.84 = 363.07 : x
  2. Step 2: Convert to fraction form
    795.92/1,193.84 = 363.07/x
  3. Step 3: Cross multiply
    795.92x = 1,193.84 × 363.07
  4. Step 4: Simplify right side
    795.92x = 433,441.52
  5. Step 5: Solve for x
    x = 433,441.52/795.92
  6. Step 6: Final answer
    x = 544.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.