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Finding the Fourth Proportional to 1,110.78, 1,532.12 and 717.71

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Solution

The fourth proportional to 1,110.78, 1,532.12 and 717.71 is: 989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.78 : 1,532.12 = 717.71 : x
  2. Step 2: Convert to fraction form
    1,110.78/1,532.12 = 717.71/x
  3. Step 3: Cross multiply
    1,110.78x = 1,532.12 × 717.71
  4. Step 4: Simplify right side
    1,110.78x = 1,099,606.60
  5. Step 5: Solve for x
    x = 1,099,606.60/1,110.78
  6. Step 6: Final answer
    x = 989.94

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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.