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Finding the Fourth Proportional to 1,480.88, 2,043.62 and 817.73

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Solution

The fourth proportional to 1,480.88, 2,043.62 and 817.73 is: 1,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.88 : 2,043.62 = 817.73 : x
  2. Step 2: Convert to fraction form
    1,480.88/2,043.62 = 817.73/x
  3. Step 3: Cross multiply
    1,480.88x = 2,043.62 × 817.73
  4. Step 4: Simplify right side
    1,480.88x = 1,671,115.08
  5. Step 5: Solve for x
    x = 1,671,115.08/1,480.88
  6. Step 6: Final answer
    x = 1,128.46

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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.