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Finding the Fourth Proportional to 1,327.32, 1,831.78 and 767.95

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Solution

The fourth proportional to 1,327.32, 1,831.78 and 767.95 is: 1,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.32 : 1,831.78 = 767.95 : x
  2. Step 2: Convert to fraction form
    1,327.32/1,831.78 = 767.95/x
  3. Step 3: Cross multiply
    1,327.32x = 1,831.78 × 767.95
  4. Step 4: Simplify right side
    1,327.32x = 1,406,711.83
  5. Step 5: Solve for x
    x = 1,406,711.83/1,327.32
  6. Step 6: Final answer
    x = 1,059.81

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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.