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Finding the Fourth Proportional to 1,474.77, 2,035.25 and 885.22

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Solution

The fourth proportional to 1,474.77, 2,035.25 and 885.22 is: 1,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.77 : 2,035.25 = 885.22 : x
  2. Step 2: Convert to fraction form
    1,474.77/2,035.25 = 885.22/x
  3. Step 3: Cross multiply
    1,474.77x = 2,035.25 × 885.22
  4. Step 4: Simplify right side
    1,474.77x = 1,801,644.01
  5. Step 5: Solve for x
    x = 1,801,644.01/1,474.77
  6. Step 6: Final answer
    x = 1,221.64

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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.