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Finding the Fourth Proportional to 1,523.97, 2,103.08 and 825.34

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Solution

The fourth proportional to 1,523.97, 2,103.08 and 825.34 is: 1,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.97 : 2,103.08 = 825.34 : x
  2. Step 2: Convert to fraction form
    1,523.97/2,103.08 = 825.34/x
  3. Step 3: Cross multiply
    1,523.97x = 2,103.08 × 825.34
  4. Step 4: Simplify right side
    1,523.97x = 1,735,751.92
  5. Step 5: Solve for x
    x = 1,735,751.92/1,523.97
  6. Step 6: Final answer
    x = 1,138.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.