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Finding the Fourth Proportional to 791.84, 1,092.65 and 437.74

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Solution

The fourth proportional to 791.84, 1,092.65 and 437.74 is: 604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,092.65 = 437.74 : x
  2. Step 2: Convert to fraction form
    791.84/1,092.65 = 437.74/x
  3. Step 3: Cross multiply
    791.84x = 1,092.65 × 437.74
  4. Step 4: Simplify right side
    791.84x = 478,296.61
  5. Step 5: Solve for x
    x = 478,296.61/791.84
  6. Step 6: Final answer
    x = 604.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.