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Finding the Fourth Proportional to 1,494.81, 2,062.82 and 831.68

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Solution

The fourth proportional to 1,494.81, 2,062.82 and 831.68 is: 1,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.81 : 2,062.82 = 831.68 : x
  2. Step 2: Convert to fraction form
    1,494.81/2,062.82 = 831.68/x
  3. Step 3: Cross multiply
    1,494.81x = 2,062.82 × 831.68
  4. Step 4: Simplify right side
    1,494.81x = 1,715,597.90
  5. Step 5: Solve for x
    x = 1,715,597.90/1,494.81
  6. Step 6: Final answer
    x = 1,147.70

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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.