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Finding the Fourth Proportional to 1,147.28, 1,716.82 and 993.74

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Solution

The fourth proportional to 1,147.28, 1,716.82 and 993.74 is: 1,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.28 : 1,716.82 = 993.74 : x
  2. Step 2: Convert to fraction form
    1,147.28/1,716.82 = 993.74/x
  3. Step 3: Cross multiply
    1,147.28x = 1,716.82 × 993.74
  4. Step 4: Simplify right side
    1,147.28x = 1,706,072.71
  5. Step 5: Solve for x
    x = 1,706,072.71/1,147.28
  6. Step 6: Final answer
    x = 1,487.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.