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Finding the Fourth Proportional to 1,578.54, 2,366.94 and 604.74

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Solution

The fourth proportional to 1,578.54, 2,366.94 and 604.74 is: 906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.54 : 2,366.94 = 604.74 : x
  2. Step 2: Convert to fraction form
    1,578.54/2,366.94 = 604.74/x
  3. Step 3: Cross multiply
    1,578.54x = 2,366.94 × 604.74
  4. Step 4: Simplify right side
    1,578.54x = 1,431,383.30
  5. Step 5: Solve for x
    x = 1,431,383.30/1,578.54
  6. Step 6: Final answer
    x = 906.78

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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.