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Finding the Fourth Proportional to 1,694.97, 2,540.91 and 583.76

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Solution

The fourth proportional to 1,694.97, 2,540.91 and 583.76 is: 875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.97 : 2,540.91 = 583.76 : x
  2. Step 2: Convert to fraction form
    1,694.97/2,540.91 = 583.76/x
  3. Step 3: Cross multiply
    1,694.97x = 2,540.91 × 583.76
  4. Step 4: Simplify right side
    1,694.97x = 1,483,289.99
  5. Step 5: Solve for x
    x = 1,483,289.99/1,694.97
  6. Step 6: Final answer
    x = 875.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.