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Finding the Fourth Proportional to 4,665.75, 6,998.76 and 1,203

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Solution

The fourth proportional to 4,665.75, 6,998.76 and 1,203 is: 1,804.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.75 : 6,998.76 = 1,203 : x
  2. Step 2: Convert to fraction form
    4,665.75/6,998.76 = 1,203/x
  3. Step 3: Cross multiply
    4,665.75x = 6,998.76 × 1,203
  4. Step 4: Simplify right side
    4,665.75x = 8,419,508.28
  5. Step 5: Solve for x
    x = 8,419,508.28/4,665.75
  6. Step 6: Final answer
    x = 1,804.53

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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.