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Finding the Fourth Proportional to 793.02, 1,189.35 and 305.82

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Solution

The fourth proportional to 793.02, 1,189.35 and 305.82 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,189.35 = 305.82 : x
  2. Step 2: Convert to fraction form
    793.02/1,189.35 = 305.82/x
  3. Step 3: Cross multiply
    793.02x = 1,189.35 × 305.82
  4. Step 4: Simplify right side
    793.02x = 363,727.02
  5. Step 5: Solve for x
    x = 363,727.02/793.02
  6. Step 6: Final answer
    x = 458.66

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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.