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Finding the Fourth Proportional to 792.02, 1,092.98 and 460.45

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Solution

The fourth proportional to 792.02, 1,092.98 and 460.45 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.02 : 1,092.98 = 460.45 : x
  2. Step 2: Convert to fraction form
    792.02/1,092.98 = 460.45/x
  3. Step 3: Cross multiply
    792.02x = 1,092.98 × 460.45
  4. Step 4: Simplify right side
    792.02x = 503,265.16
  5. Step 5: Solve for x
    x = 503,265.16/792.02
  6. Step 6: Final answer
    x = 635.42

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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.