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Finding the Fourth Proportional to 1,600.05, 2,208.01 and 901.29

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Solution

The fourth proportional to 1,600.05, 2,208.01 and 901.29 is: 1,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.05 : 2,208.01 = 901.29 : x
  2. Step 2: Convert to fraction form
    1,600.05/2,208.01 = 901.29/x
  3. Step 3: Cross multiply
    1,600.05x = 2,208.01 × 901.29
  4. Step 4: Simplify right side
    1,600.05x = 1,990,057.33
  5. Step 5: Solve for x
    x = 1,990,057.33/1,600.05
  6. Step 6: Final answer
    x = 1,243.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.