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Finding the Fourth Proportional to 1,203.75, 1,802.39 and 682.99

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Solution

The fourth proportional to 1,203.75, 1,802.39 and 682.99 is: 1,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.75 : 1,802.39 = 682.99 : x
  2. Step 2: Convert to fraction form
    1,203.75/1,802.39 = 682.99/x
  3. Step 3: Cross multiply
    1,203.75x = 1,802.39 × 682.99
  4. Step 4: Simplify right side
    1,203.75x = 1,231,006.43
  5. Step 5: Solve for x
    x = 1,231,006.43/1,203.75
  6. Step 6: Final answer
    x = 1,022.64

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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.