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Finding the Fourth Proportional to 1,219.68, 1,831.14 and 727.00

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Solution

The fourth proportional to 1,219.68, 1,831.14 and 727.00 is: 1,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,831.14 = 727.00 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,831.14 = 727.00/x
  3. Step 3: Cross multiply
    1,219.68x = 1,831.14 × 727.00
  4. Step 4: Simplify right side
    1,219.68x = 1,331,234.20
  5. Step 5: Solve for x
    x = 1,331,234.20/1,219.68
  6. Step 6: Final answer
    x = 1,091.46

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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.