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Finding the Fourth Proportional to 1,086.64, 1,629.96 and 599.42

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Solution

The fourth proportional to 1,086.64, 1,629.96 and 599.42 is: 899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.64 : 1,629.96 = 599.42 : x
  2. Step 2: Convert to fraction form
    1,086.64/1,629.96 = 599.42/x
  3. Step 3: Cross multiply
    1,086.64x = 1,629.96 × 599.42
  4. Step 4: Simplify right side
    1,086.64x = 977,030.62
  5. Step 5: Solve for x
    x = 977,030.62/1,086.64
  6. Step 6: Final answer
    x = 899.13

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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.