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Finding the Fourth Proportional to 1,563.08, 2,342.61 and 685.34

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Solution

The fourth proportional to 1,563.08, 2,342.61 and 685.34 is: 1,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.08 : 2,342.61 = 685.34 : x
  2. Step 2: Convert to fraction form
    1,563.08/2,342.61 = 685.34/x
  3. Step 3: Cross multiply
    1,563.08x = 2,342.61 × 685.34
  4. Step 4: Simplify right side
    1,563.08x = 1,605,472.62
  5. Step 5: Solve for x
    x = 1,605,472.62/1,563.08
  6. Step 6: Final answer
    x = 1,027.12

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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.