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Finding the Fourth Proportional to 795.81, 1,194.12 and 581.16

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Solution

The fourth proportional to 795.81, 1,194.12 and 581.16 is: 872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.81 : 1,194.12 = 581.16 : x
  2. Step 2: Convert to fraction form
    795.81/1,194.12 = 581.16/x
  3. Step 3: Cross multiply
    795.81x = 1,194.12 × 581.16
  4. Step 4: Simplify right side
    795.81x = 693,974.78
  5. Step 5: Solve for x
    x = 693,974.78/795.81
  6. Step 6: Final answer
    x = 872.04

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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.