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Finding the Fourth Proportional to 791.78, 1,187.82 and 402.00

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Solution

The fourth proportional to 791.78, 1,187.82 and 402.00 is: 603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.78 : 1,187.82 = 402.00 : x
  2. Step 2: Convert to fraction form
    791.78/1,187.82 = 402.00/x
  3. Step 3: Cross multiply
    791.78x = 1,187.82 × 402.00
  4. Step 4: Simplify right side
    791.78x = 477,499.19
  5. Step 5: Solve for x
    x = 477,499.19/791.78
  6. Step 6: Final answer
    x = 603.07

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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.