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Finding the Fourth Proportional to 1,169.99, 1,614.43 and 993.67

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Solution

The fourth proportional to 1,169.99, 1,614.43 and 993.67 is: 1,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.99 : 1,614.43 = 993.67 : x
  2. Step 2: Convert to fraction form
    1,169.99/1,614.43 = 993.67/x
  3. Step 3: Cross multiply
    1,169.99x = 1,614.43 × 993.67
  4. Step 4: Simplify right side
    1,169.99x = 1,604,207.86
  5. Step 5: Solve for x
    x = 1,604,207.86/1,169.99
  6. Step 6: Final answer
    x = 1,371.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.