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Finding the Fourth Proportional to 792.28, 1,092.90 and 559

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Solution

The fourth proportional to 792.28, 1,092.90 and 559 is: 771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.28 : 1,092.90 = 559 : x
  2. Step 2: Convert to fraction form
    792.28/1,092.90 = 559/x
  3. Step 3: Cross multiply
    792.28x = 1,092.90 × 559
  4. Step 4: Simplify right side
    792.28x = 610,931.10
  5. Step 5: Solve for x
    x = 610,931.10/792.28
  6. Step 6: Final answer
    x = 771.11

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