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Finding the Fourth Proportional to 1,086.52, 1,629.30 and 599.80

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Solution

The fourth proportional to 1,086.52, 1,629.30 and 599.80 is: 899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.52 : 1,629.30 = 599.80 : x
  2. Step 2: Convert to fraction form
    1,086.52/1,629.30 = 599.80/x
  3. Step 3: Cross multiply
    1,086.52x = 1,629.30 × 599.80
  4. Step 4: Simplify right side
    1,086.52x = 977,254.14
  5. Step 5: Solve for x
    x = 977,254.14/1,086.52
  6. Step 6: Final answer
    x = 899.44

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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.