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Finding the Fourth Proportional to 1,003.02, 1,383.20 and 781.90

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Solution

The fourth proportional to 1,003.02, 1,383.20 and 781.90 is: 1,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.02 : 1,383.20 = 781.90 : x
  2. Step 2: Convert to fraction form
    1,003.02/1,383.20 = 781.90/x
  3. Step 3: Cross multiply
    1,003.02x = 1,383.20 × 781.90
  4. Step 4: Simplify right side
    1,003.02x = 1,081,524.08
  5. Step 5: Solve for x
    x = 1,081,524.08/1,003.02
  6. Step 6: Final answer
    x = 1,078.27

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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.