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Finding the Fourth Proportional to 1,802.82, 2,704.37 and 504.30

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Solution

The fourth proportional to 1,802.82, 2,704.37 and 504.30 is: 756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.82 : 2,704.37 = 504.30 : x
  2. Step 2: Convert to fraction form
    1,802.82/2,704.37 = 504.30/x
  3. Step 3: Cross multiply
    1,802.82x = 2,704.37 × 504.30
  4. Step 4: Simplify right side
    1,802.82x = 1,363,811.27
  5. Step 5: Solve for x
    x = 1,363,811.27/1,802.82
  6. Step 6: Final answer
    x = 756.49

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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.