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Finding the Fourth Proportional to 1,326.85, 1,831.65 and 829.81

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Solution

The fourth proportional to 1,326.85, 1,831.65 and 829.81 is: 1,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.85 : 1,831.65 = 829.81 : x
  2. Step 2: Convert to fraction form
    1,326.85/1,831.65 = 829.81/x
  3. Step 3: Cross multiply
    1,326.85x = 1,831.65 × 829.81
  4. Step 4: Simplify right side
    1,326.85x = 1,519,912.33
  5. Step 5: Solve for x
    x = 1,519,912.33/1,326.85
  6. Step 6: Final answer
    x = 1,145.51

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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.