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Finding the Fourth Proportional to 1,480.50, 2,043.09 and 891.06

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Solution

The fourth proportional to 1,480.50, 2,043.09 and 891.06 is: 1,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.50 : 2,043.09 = 891.06 : x
  2. Step 2: Convert to fraction form
    1,480.50/2,043.09 = 891.06/x
  3. Step 3: Cross multiply
    1,480.50x = 2,043.09 × 891.06
  4. Step 4: Simplify right side
    1,480.50x = 1,820,515.78
  5. Step 5: Solve for x
    x = 1,820,515.78/1,480.50
  6. Step 6: Final answer
    x = 1,229.66

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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.