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Finding the Fourth Proportional to 1,464.99, 2,198.29 and 599.91

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Solution

The fourth proportional to 1,464.99, 2,198.29 and 599.91 is: 900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.99 : 2,198.29 = 599.91 : x
  2. Step 2: Convert to fraction form
    1,464.99/2,198.29 = 599.91/x
  3. Step 3: Cross multiply
    1,464.99x = 2,198.29 × 599.91
  4. Step 4: Simplify right side
    1,464.99x = 1,318,765.16
  5. Step 5: Solve for x
    x = 1,318,765.16/1,464.99
  6. Step 6: Final answer
    x = 900.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.