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Finding the Fourth Proportional to 1,599.26, 2,399.82 and 625.32

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Solution

The fourth proportional to 1,599.26, 2,399.82 and 625.32 is: 938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.26 : 2,399.82 = 625.32 : x
  2. Step 2: Convert to fraction form
    1,599.26/2,399.82 = 625.32/x
  3. Step 3: Cross multiply
    1,599.26x = 2,399.82 × 625.32
  4. Step 4: Simplify right side
    1,599.26x = 1,500,655.44
  5. Step 5: Solve for x
    x = 1,500,655.44/1,599.26
  6. Step 6: Final answer
    x = 938.34

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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.