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Finding the Fourth Proportional to 1,466.14, 2,197.33 and 599.42

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Solution

The fourth proportional to 1,466.14, 2,197.33 and 599.42 is: 898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.14 : 2,197.33 = 599.42 : x
  2. Step 2: Convert to fraction form
    1,466.14/2,197.33 = 599.42/x
  3. Step 3: Cross multiply
    1,466.14x = 2,197.33 × 599.42
  4. Step 4: Simplify right side
    1,466.14x = 1,317,115.81
  5. Step 5: Solve for x
    x = 1,317,115.81/1,466.14
  6. Step 6: Final answer
    x = 898.36

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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.