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Finding the Fourth Proportional to 795.53, 1,193.76 and 333.27

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Solution

The fourth proportional to 795.53, 1,193.76 and 333.27 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.53 : 1,193.76 = 333.27 : x
  2. Step 2: Convert to fraction form
    795.53/1,193.76 = 333.27/x
  3. Step 3: Cross multiply
    795.53x = 1,193.76 × 333.27
  4. Step 4: Simplify right side
    795.53x = 397,844.40
  5. Step 5: Solve for x
    x = 397,844.40/795.53
  6. Step 6: Final answer
    x = 500.10

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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.