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Finding the Fourth Proportional to 796.94, 1,195.65 and 450.53

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Solution

The fourth proportional to 796.94, 1,195.65 and 450.53 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.94 : 1,195.65 = 450.53 : x
  2. Step 2: Convert to fraction form
    796.94/1,195.65 = 450.53/x
  3. Step 3: Cross multiply
    796.94x = 1,195.65 × 450.53
  4. Step 4: Simplify right side
    796.94x = 538,670.22
  5. Step 5: Solve for x
    x = 538,670.22/796.94
  6. Step 6: Final answer
    x = 675.93

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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.