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Finding the Fourth Proportional to 831.19, 1,246.40 and 441.65

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Solution

The fourth proportional to 831.19, 1,246.40 and 441.65 is: 662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.19 : 1,246.40 = 441.65 : x
  2. Step 2: Convert to fraction form
    831.19/1,246.40 = 441.65/x
  3. Step 3: Cross multiply
    831.19x = 1,246.40 × 441.65
  4. Step 4: Simplify right side
    831.19x = 550,464.12
  5. Step 5: Solve for x
    x = 550,464.12/831.19
  6. Step 6: Final answer
    x = 662.26

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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.