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Finding the Fourth Proportional to 1,105.34, 1,524.80 and 662.94

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Solution

The fourth proportional to 1,105.34, 1,524.80 and 662.94 is: 914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.34 : 1,524.80 = 662.94 : x
  2. Step 2: Convert to fraction form
    1,105.34/1,524.80 = 662.94/x
  3. Step 3: Cross multiply
    1,105.34x = 1,524.80 × 662.94
  4. Step 4: Simplify right side
    1,105.34x = 1,010,850.91
  5. Step 5: Solve for x
    x = 1,010,850.91/1,105.34
  6. Step 6: Final answer
    x = 914.52

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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.