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Finding the Fourth Proportional to 1,599.92, 2,400.36 and 504.29

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Solution

The fourth proportional to 1,599.92, 2,400.36 and 504.29 is: 756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.92 : 2,400.36 = 504.29 : x
  2. Step 2: Convert to fraction form
    1,599.92/2,400.36 = 504.29/x
  3. Step 3: Cross multiply
    1,599.92x = 2,400.36 × 504.29
  4. Step 4: Simplify right side
    1,599.92x = 1,210,477.54
  5. Step 5: Solve for x
    x = 1,210,477.54/1,599.92
  6. Step 6: Final answer
    x = 756.59

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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.