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Finding the Fourth Proportional to 1,694.03, 2,540.78 and 598.14

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Solution

The fourth proportional to 1,694.03, 2,540.78 and 598.14 is: 897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.03 : 2,540.78 = 598.14 : x
  2. Step 2: Convert to fraction form
    1,694.03/2,540.78 = 598.14/x
  3. Step 3: Cross multiply
    1,694.03x = 2,540.78 × 598.14
  4. Step 4: Simplify right side
    1,694.03x = 1,519,746.87
  5. Step 5: Solve for x
    x = 1,519,746.87/1,694.03
  6. Step 6: Final answer
    x = 897.12

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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.