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Finding the Fourth Proportional to 791.34, 1,186.49 and 420.93

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Solution

The fourth proportional to 791.34, 1,186.49 and 420.93 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.34 : 1,186.49 = 420.93 : x
  2. Step 2: Convert to fraction form
    791.34/1,186.49 = 420.93/x
  3. Step 3: Cross multiply
    791.34x = 1,186.49 × 420.93
  4. Step 4: Simplify right side
    791.34x = 499,427.13
  5. Step 5: Solve for x
    x = 499,427.13/791.34
  6. Step 6: Final answer
    x = 631.12

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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.