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Finding the Fourth Proportional to 791.86, 1,186.16 and 466.24

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Solution

The fourth proportional to 791.86, 1,186.16 and 466.24 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.86 : 1,186.16 = 466.24 : x
  2. Step 2: Convert to fraction form
    791.86/1,186.16 = 466.24/x
  3. Step 3: Cross multiply
    791.86x = 1,186.16 × 466.24
  4. Step 4: Simplify right side
    791.86x = 553,030.47
  5. Step 5: Solve for x
    x = 553,030.47/791.86
  6. Step 6: Final answer
    x = 698.40

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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.