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Finding the Fourth Proportional to 1,694.77, 2,542.54 and 654.77

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Solution

The fourth proportional to 1,694.77, 2,542.54 and 654.77 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.77 : 2,542.54 = 654.77 : x
  2. Step 2: Convert to fraction form
    1,694.77/2,542.54 = 654.77/x
  3. Step 3: Cross multiply
    1,694.77x = 2,542.54 × 654.77
  4. Step 4: Simplify right side
    1,694.77x = 1,664,783.64
  5. Step 5: Solve for x
    x = 1,664,783.64/1,694.77
  6. Step 6: Final answer
    x = 982.31

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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.