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Finding the Fourth Proportional to 795.82, 1,193.12 and 332.94

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Solution

The fourth proportional to 795.82, 1,193.12 and 332.94 is: 499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.82 : 1,193.12 = 332.94 : x
  2. Step 2: Convert to fraction form
    795.82/1,193.12 = 332.94/x
  3. Step 3: Cross multiply
    795.82x = 1,193.12 × 332.94
  4. Step 4: Simplify right side
    795.82x = 397,237.37
  5. Step 5: Solve for x
    x = 397,237.37/795.82
  6. Step 6: Final answer
    x = 499.15

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