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Finding the Fourth Proportional to 1,224.41, 1,689.86 and 831.56

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Solution

The fourth proportional to 1,224.41, 1,689.86 and 831.56 is: 1,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.41 : 1,689.86 = 831.56 : x
  2. Step 2: Convert to fraction form
    1,224.41/1,689.86 = 831.56/x
  3. Step 3: Cross multiply
    1,224.41x = 1,689.86 × 831.56
  4. Step 4: Simplify right side
    1,224.41x = 1,405,220.05
  5. Step 5: Solve for x
    x = 1,405,220.05/1,224.41
  6. Step 6: Final answer
    x = 1,147.67

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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.