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Finding the Fourth Proportional to 1,086.90, 1,629.15 and 600.30

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Solution

The fourth proportional to 1,086.90, 1,629.15 and 600.30 is: 899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.90 : 1,629.15 = 600.30 : x
  2. Step 2: Convert to fraction form
    1,086.90/1,629.15 = 600.30/x
  3. Step 3: Cross multiply
    1,086.90x = 1,629.15 × 600.30
  4. Step 4: Simplify right side
    1,086.90x = 977,978.75
  5. Step 5: Solve for x
    x = 977,978.75/1,086.90
  6. Step 6: Final answer
    x = 899.79

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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.