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Finding the Fourth Proportional to 795, 1,190.91 and 486.66

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Solution

The fourth proportional to 795, 1,190.91 and 486.66 is: 729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    795 : 1,190.91 = 486.66 : x
  2. Step 2: Convert to fraction form
    795/1,190.91 = 486.66/x
  3. Step 3: Cross multiply
    795x = 1,190.91 × 486.66
  4. Step 4: Simplify right side
    795x = 579,568.26
  5. Step 5: Solve for x
    x = 579,568.26/795
  6. Step 6: Final answer
    x = 729.02

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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.