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Finding the Fourth Proportional to 1,105.42, 1,524.51 and 712.30

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Solution

The fourth proportional to 1,105.42, 1,524.51 and 712.30 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.42 : 1,524.51 = 712.30 : x
  2. Step 2: Convert to fraction form
    1,105.42/1,524.51 = 712.30/x
  3. Step 3: Cross multiply
    1,105.42x = 1,524.51 × 712.30
  4. Step 4: Simplify right side
    1,105.42x = 1,085,908.47
  5. Step 5: Solve for x
    x = 1,085,908.47/1,105.42
  6. Step 6: Final answer
    x = 982.35

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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.