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Finding the Fourth Proportional to 797.66, 1,195.96 and 310.76

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Solution

The fourth proportional to 797.66, 1,195.96 and 310.76 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.66 : 1,195.96 = 310.76 : x
  2. Step 2: Convert to fraction form
    797.66/1,195.96 = 310.76/x
  3. Step 3: Cross multiply
    797.66x = 1,195.96 × 310.76
  4. Step 4: Simplify right side
    797.66x = 371,656.53
  5. Step 5: Solve for x
    x = 371,656.53/797.66
  6. Step 6: Final answer
    x = 465.93

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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.