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Finding the Fourth Proportional to 1,105.62, 1,524.50 and 706.76

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Solution

The fourth proportional to 1,105.62, 1,524.50 and 706.76 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.62 : 1,524.50 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,105.62/1,524.50 = 706.76/x
  3. Step 3: Cross multiply
    1,105.62x = 1,524.50 × 706.76
  4. Step 4: Simplify right side
    1,105.62x = 1,077,455.62
  5. Step 5: Solve for x
    x = 1,077,455.62/1,105.62
  6. Step 6: Final answer
    x = 974.53

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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.