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Finding the Fourth Proportional to 1,327.19, 1,831.61 and 767.68

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Solution

The fourth proportional to 1,327.19, 1,831.61 and 767.68 is: 1,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.19 : 1,831.61 = 767.68 : x
  2. Step 2: Convert to fraction form
    1,327.19/1,831.61 = 767.68/x
  3. Step 3: Cross multiply
    1,327.19x = 1,831.61 × 767.68
  4. Step 4: Simplify right side
    1,327.19x = 1,406,087.70
  5. Step 5: Solve for x
    x = 1,406,087.70/1,327.19
  6. Step 6: Final answer
    x = 1,059.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.