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Finding the Fourth Proportional to 791.54, 1,186.91 and 462.59

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Solution

The fourth proportional to 791.54, 1,186.91 and 462.59 is: 693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.54 : 1,186.91 = 462.59 : x
  2. Step 2: Convert to fraction form
    791.54/1,186.91 = 462.59/x
  3. Step 3: Cross multiply
    791.54x = 1,186.91 × 462.59
  4. Step 4: Simplify right side
    791.54x = 549,050.38
  5. Step 5: Solve for x
    x = 549,050.38/791.54
  6. Step 6: Final answer
    x = 693.65

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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.