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Finding the Fourth Proportional to 1,086.23, 1,630.43 and 599.51

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Solution

The fourth proportional to 1,086.23, 1,630.43 and 599.51 is: 899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.23 : 1,630.43 = 599.51 : x
  2. Step 2: Convert to fraction form
    1,086.23/1,630.43 = 599.51/x
  3. Step 3: Cross multiply
    1,086.23x = 1,630.43 × 599.51
  4. Step 4: Simplify right side
    1,086.23x = 977,447.94
  5. Step 5: Solve for x
    x = 977,447.94/1,086.23
  6. Step 6: Final answer
    x = 899.86

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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.