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Finding the Fourth Proportional to 800.85, 1,102.89 and 579.45

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Solution

The fourth proportional to 800.85, 1,102.89 and 579.45 is: 797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.85 : 1,102.89 = 579.45 : x
  2. Step 2: Convert to fraction form
    800.85/1,102.89 = 579.45/x
  3. Step 3: Cross multiply
    800.85x = 1,102.89 × 579.45
  4. Step 4: Simplify right side
    800.85x = 639,069.61
  5. Step 5: Solve for x
    x = 639,069.61/800.85
  6. Step 6: Final answer
    x = 797.99

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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.