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Finding the Fourth Proportional to 1,103.76, 1,524.20 and 711.46

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Solution

The fourth proportional to 1,103.76, 1,524.20 and 711.46 is: 982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.76 : 1,524.20 = 711.46 : x
  2. Step 2: Convert to fraction form
    1,103.76/1,524.20 = 711.46/x
  3. Step 3: Cross multiply
    1,103.76x = 1,524.20 × 711.46
  4. Step 4: Simplify right side
    1,103.76x = 1,084,407.33
  5. Step 5: Solve for x
    x = 1,084,407.33/1,103.76
  6. Step 6: Final answer
    x = 982.47

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