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Finding the Fourth Proportional to 795.24, 1,195.29 and 579.78

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Solution

The fourth proportional to 795.24, 1,195.29 and 579.78 is: 871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.24 : 1,195.29 = 579.78 : x
  2. Step 2: Convert to fraction form
    795.24/1,195.29 = 579.78/x
  3. Step 3: Cross multiply
    795.24x = 1,195.29 × 579.78
  4. Step 4: Simplify right side
    795.24x = 693,005.24
  5. Step 5: Solve for x
    x = 693,005.24/795.24
  6. Step 6: Final answer
    x = 871.44

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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.