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Finding the Fourth Proportional to 1,086.32, 1,630.34 and 566.46

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Solution

The fourth proportional to 1,086.32, 1,630.34 and 566.46 is: 850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.32 : 1,630.34 = 566.46 : x
  2. Step 2: Convert to fraction form
    1,086.32/1,630.34 = 566.46/x
  3. Step 3: Cross multiply
    1,086.32x = 1,630.34 × 566.46
  4. Step 4: Simplify right side
    1,086.32x = 923,522.40
  5. Step 5: Solve for x
    x = 923,522.40/1,086.32
  6. Step 6: Final answer
    x = 850.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.