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Finding the Fourth Proportional to 1,599.34, 2,399.02 and 445.09

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Solution

The fourth proportional to 1,599.34, 2,399.02 and 445.09 is: 667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.34 : 2,399.02 = 445.09 : x
  2. Step 2: Convert to fraction form
    1,599.34/2,399.02 = 445.09/x
  3. Step 3: Cross multiply
    1,599.34x = 2,399.02 × 445.09
  4. Step 4: Simplify right side
    1,599.34x = 1,067,779.81
  5. Step 5: Solve for x
    x = 1,067,779.81/1,599.34
  6. Step 6: Final answer
    x = 667.64

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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.