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Finding the Fourth Proportional to 800.16, 1,102.08 and 566.88

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Solution

The fourth proportional to 800.16, 1,102.08 and 566.88 is: 780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,102.08 = 566.88 : x
  2. Step 2: Convert to fraction form
    800.16/1,102.08 = 566.88/x
  3. Step 3: Cross multiply
    800.16x = 1,102.08 × 566.88
  4. Step 4: Simplify right side
    800.16x = 624,747.11
  5. Step 5: Solve for x
    x = 624,747.11/800.16
  6. Step 6: Final answer
    x = 780.78

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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.