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Finding the Fourth Proportional to 795.69, 1,192.67 and 333.72

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Solution

The fourth proportional to 795.69, 1,192.67 and 333.72 is: 500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.69 : 1,192.67 = 333.72 : x
  2. Step 2: Convert to fraction form
    795.69/1,192.67 = 333.72/x
  3. Step 3: Cross multiply
    795.69x = 1,192.67 × 333.72
  4. Step 4: Simplify right side
    795.69x = 398,017.83
  5. Step 5: Solve for x
    x = 398,017.83/795.69
  6. Step 6: Final answer
    x = 500.22

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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.