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Finding the Fourth Proportional to 1,103.75, 1,523.85 and 711.47

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Solution

The fourth proportional to 1,103.75, 1,523.85 and 711.47 is: 982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.75 : 1,523.85 = 711.47 : x
  2. Step 2: Convert to fraction form
    1,103.75/1,523.85 = 711.47/x
  3. Step 3: Cross multiply
    1,103.75x = 1,523.85 × 711.47
  4. Step 4: Simplify right side
    1,103.75x = 1,084,173.56
  5. Step 5: Solve for x
    x = 1,084,173.56/1,103.75
  6. Step 6: Final answer
    x = 982.26

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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.