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Finding the Fourth Proportional to 1,086.56, 1,630.86 and 566.93

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Solution

The fourth proportional to 1,086.56, 1,630.86 and 566.93 is: 850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.56 : 1,630.86 = 566.93 : x
  2. Step 2: Convert to fraction form
    1,086.56/1,630.86 = 566.93/x
  3. Step 3: Cross multiply
    1,086.56x = 1,630.86 × 566.93
  4. Step 4: Simplify right side
    1,086.56x = 924,572.47
  5. Step 5: Solve for x
    x = 924,572.47/1,086.56
  6. Step 6: Final answer
    x = 850.92

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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.