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Finding the Fourth Proportional to 1,448.01, 1,999.35 and 889.25

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Solution

The fourth proportional to 1,448.01, 1,999.35 and 889.25 is: 1,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.01 : 1,999.35 = 889.25 : x
  2. Step 2: Convert to fraction form
    1,448.01/1,999.35 = 889.25/x
  3. Step 3: Cross multiply
    1,448.01x = 1,999.35 × 889.25
  4. Step 4: Simplify right side
    1,448.01x = 1,777,911.99
  5. Step 5: Solve for x
    x = 1,777,911.99/1,448.01
  6. Step 6: Final answer
    x = 1,227.83

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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.