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Finding the Fourth Proportional to 1,222.97, 1,831.37 and 810.86

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Solution

The fourth proportional to 1,222.97, 1,831.37 and 810.86 is: 1,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.97 : 1,831.37 = 810.86 : x
  2. Step 2: Convert to fraction form
    1,222.97/1,831.37 = 810.86/x
  3. Step 3: Cross multiply
    1,222.97x = 1,831.37 × 810.86
  4. Step 4: Simplify right side
    1,222.97x = 1,484,984.68
  5. Step 5: Solve for x
    x = 1,484,984.68/1,222.97
  6. Step 6: Final answer
    x = 1,214.24

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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.