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Finding the Fourth Proportional to 831.16, 1,245.39 and 441.13

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Solution

The fourth proportional to 831.16, 1,245.39 and 441.13 is: 660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.16 : 1,245.39 = 441.13 : x
  2. Step 2: Convert to fraction form
    831.16/1,245.39 = 441.13/x
  3. Step 3: Cross multiply
    831.16x = 1,245.39 × 441.13
  4. Step 4: Simplify right side
    831.16x = 549,378.89
  5. Step 5: Solve for x
    x = 549,378.89/831.16
  6. Step 6: Final answer
    x = 660.98

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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.