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Finding the Fourth Proportional to 1,086.12, 1,630.62 and 1,057.32

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Solution

The fourth proportional to 1,086.12, 1,630.62 and 1,057.32 is: 1,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.12 : 1,630.62 = 1,057.32 : x
  2. Step 2: Convert to fraction form
    1,086.12/1,630.62 = 1,057.32/x
  3. Step 3: Cross multiply
    1,086.12x = 1,630.62 × 1,057.32
  4. Step 4: Simplify right side
    1,086.12x = 1,724,087.14
  5. Step 5: Solve for x
    x = 1,724,087.14/1,086.12
  6. Step 6: Final answer
    x = 1,587.38

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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.