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Finding the Fourth Proportional to 795.49, 1,192.82 and 333.14

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Solution

The fourth proportional to 795.49, 1,192.82 and 333.14 is: 499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.49 : 1,192.82 = 333.14 : x
  2. Step 2: Convert to fraction form
    795.49/1,192.82 = 333.14/x
  3. Step 3: Cross multiply
    795.49x = 1,192.82 × 333.14
  4. Step 4: Simplify right side
    795.49x = 397,368.43
  5. Step 5: Solve for x
    x = 397,368.43/795.49
  6. Step 6: Final answer
    x = 499.53

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1.5x scale

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.