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Finding the Fourth Proportional to 796.95, 1,195.62 and 450.53

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Solution

The fourth proportional to 796.95, 1,195.62 and 450.53 is: 675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.95 : 1,195.62 = 450.53 : x
  2. Step 2: Convert to fraction form
    796.95/1,195.62 = 450.53/x
  3. Step 3: Cross multiply
    796.95x = 1,195.62 × 450.53
  4. Step 4: Simplify right side
    796.95x = 538,656.70
  5. Step 5: Solve for x
    x = 538,656.70/796.95
  6. Step 6: Final answer
    x = 675.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.