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Finding the Fourth Proportional to 796.80, 1,196.16 and 508.80

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Solution

The fourth proportional to 796.80, 1,196.16 and 508.80 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,196.16 = 508.80 : x
  2. Step 2: Convert to fraction form
    796.80/1,196.16 = 508.80/x
  3. Step 3: Cross multiply
    796.80x = 1,196.16 × 508.80
  4. Step 4: Simplify right side
    796.80x = 608,606.21
  5. Step 5: Solve for x
    x = 608,606.21/796.80
  6. Step 6: Final answer
    x = 763.81

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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.