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Finding the Fourth Proportional to 791.08, 1,187.05 and 297.82

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Solution

The fourth proportional to 791.08, 1,187.05 and 297.82 is: 446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.08 : 1,187.05 = 297.82 : x
  2. Step 2: Convert to fraction form
    791.08/1,187.05 = 297.82/x
  3. Step 3: Cross multiply
    791.08x = 1,187.05 × 297.82
  4. Step 4: Simplify right side
    791.08x = 353,525.74
  5. Step 5: Solve for x
    x = 353,525.74/791.08
  6. Step 6: Final answer
    x = 446.89

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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.