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Finding the Fourth Proportional to 795.84, 1,192.74 and 333.08

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Solution

The fourth proportional to 795.84, 1,192.74 and 333.08 is: 499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,192.74 = 333.08 : x
  2. Step 2: Convert to fraction form
    795.84/1,192.74 = 333.08/x
  3. Step 3: Cross multiply
    795.84x = 1,192.74 × 333.08
  4. Step 4: Simplify right side
    795.84x = 397,271.88
  5. Step 5: Solve for x
    x = 397,271.88/795.84
  6. Step 6: Final answer
    x = 499.19

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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.