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Finding the Fourth Proportional to 796.83, 1,195.56 and 310.02

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Solution

The fourth proportional to 796.83, 1,195.56 and 310.02 is: 465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.83 : 1,195.56 = 310.02 : x
  2. Step 2: Convert to fraction form
    796.83/1,195.56 = 310.02/x
  3. Step 3: Cross multiply
    796.83x = 1,195.56 × 310.02
  4. Step 4: Simplify right side
    796.83x = 370,647.51
  5. Step 5: Solve for x
    x = 370,647.51/796.83
  6. Step 6: Final answer
    x = 465.15

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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.