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Finding the Fourth Proportional to 1,327.08, 1,831.08 and 829.56

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Solution

The fourth proportional to 1,327.08, 1,831.08 and 829.56 is: 1,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.08 : 1,831.08 = 829.56 : x
  2. Step 2: Convert to fraction form
    1,327.08/1,831.08 = 829.56/x
  3. Step 3: Cross multiply
    1,327.08x = 1,831.08 × 829.56
  4. Step 4: Simplify right side
    1,327.08x = 1,518,990.72
  5. Step 5: Solve for x
    x = 1,518,990.72/1,327.08
  6. Step 6: Final answer
    x = 1,144.61

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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.