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Finding the Fourth Proportional to 795.79, 1,194.03 and 411.31

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Solution

The fourth proportional to 795.79, 1,194.03 and 411.31 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.79 : 1,194.03 = 411.31 : x
  2. Step 2: Convert to fraction form
    795.79/1,194.03 = 411.31/x
  3. Step 3: Cross multiply
    795.79x = 1,194.03 × 411.31
  4. Step 4: Simplify right side
    795.79x = 491,116.48
  5. Step 5: Solve for x
    x = 491,116.48/795.79
  6. Step 6: Final answer
    x = 617.14

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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.