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Finding the Fourth Proportional to 831.65, 1,246.64 and 685.85

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Solution

The fourth proportional to 831.65, 1,246.64 and 685.85 is: 1,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.65 : 1,246.64 = 685.85 : x
  2. Step 2: Convert to fraction form
    831.65/1,246.64 = 685.85/x
  3. Step 3: Cross multiply
    831.65x = 1,246.64 × 685.85
  4. Step 4: Simplify right side
    831.65x = 854,998.38
  5. Step 5: Solve for x
    x = 854,998.38/831.65
  6. Step 6: Final answer
    x = 1,028.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.