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Finding the Fourth Proportional to 1,384.55, 1,910.44 and 887.09

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Solution

The fourth proportional to 1,384.55, 1,910.44 and 887.09 is: 1,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.55 : 1,910.44 = 887.09 : x
  2. Step 2: Convert to fraction form
    1,384.55/1,910.44 = 887.09/x
  3. Step 3: Cross multiply
    1,384.55x = 1,910.44 × 887.09
  4. Step 4: Simplify right side
    1,384.55x = 1,694,720.45
  5. Step 5: Solve for x
    x = 1,694,720.45/1,384.55
  6. Step 6: Final answer
    x = 1,224.03

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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.