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Finding the Fourth Proportional to 1,194.86, 1,794.46 and 831.44

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Solution

The fourth proportional to 1,194.86, 1,794.46 and 831.44 is: 1,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.86 : 1,794.46 = 831.44 : x
  2. Step 2: Convert to fraction form
    1,194.86/1,794.46 = 831.44/x
  3. Step 3: Cross multiply
    1,194.86x = 1,794.46 × 831.44
  4. Step 4: Simplify right side
    1,194.86x = 1,491,985.82
  5. Step 5: Solve for x
    x = 1,491,985.82/1,194.86
  6. Step 6: Final answer
    x = 1,248.67

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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.