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Finding the Fourth Proportional to 1,003.79, 1,383.57 and 672.10

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Solution

The fourth proportional to 1,003.79, 1,383.57 and 672.10 is: 926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.79 : 1,383.57 = 672.10 : x
  2. Step 2: Convert to fraction form
    1,003.79/1,383.57 = 672.10/x
  3. Step 3: Cross multiply
    1,003.79x = 1,383.57 × 672.10
  4. Step 4: Simplify right side
    1,003.79x = 929,893.94
  5. Step 5: Solve for x
    x = 929,893.94/1,003.79
  6. Step 6: Final answer
    x = 926.38

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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.