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Finding the Fourth Proportional to 1,448.84, 1,999.08 and 889.16

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Solution

The fourth proportional to 1,448.84, 1,999.08 and 889.16 is: 1,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.84 : 1,999.08 = 889.16 : x
  2. Step 2: Convert to fraction form
    1,448.84/1,999.08 = 889.16/x
  3. Step 3: Cross multiply
    1,448.84x = 1,999.08 × 889.16
  4. Step 4: Simplify right side
    1,448.84x = 1,777,501.97
  5. Step 5: Solve for x
    x = 1,777,501.97/1,448.84
  6. Step 6: Final answer
    x = 1,226.84

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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.