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Finding the Fourth Proportional to 795.84, 1,194.14 and 411.09

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Solution

The fourth proportional to 795.84, 1,194.14 and 411.09 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,194.14 = 411.09 : x
  2. Step 2: Convert to fraction form
    795.84/1,194.14 = 411.09/x
  3. Step 3: Cross multiply
    795.84x = 1,194.14 × 411.09
  4. Step 4: Simplify right side
    795.84x = 490,899.01
  5. Step 5: Solve for x
    x = 490,899.01/795.84
  6. Step 6: Final answer
    x = 616.83

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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.