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Finding the Fourth Proportional to 795.77, 1,192.97 and 301.90

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Solution

The fourth proportional to 795.77, 1,192.97 and 301.90 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.77 : 1,192.97 = 301.90 : x
  2. Step 2: Convert to fraction form
    795.77/1,192.97 = 301.90/x
  3. Step 3: Cross multiply
    795.77x = 1,192.97 × 301.90
  4. Step 4: Simplify right side
    795.77x = 360,157.50
  5. Step 5: Solve for x
    x = 360,157.50/795.77
  6. Step 6: Final answer
    x = 452.59

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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.