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Finding the Fourth Proportional to 831.99, 1,247.99 and 284.18

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Solution

The fourth proportional to 831.99, 1,247.99 and 284.18 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.99 : 1,247.99 = 284.18 : x
  2. Step 2: Convert to fraction form
    831.99/1,247.99 = 284.18/x
  3. Step 3: Cross multiply
    831.99x = 1,247.99 × 284.18
  4. Step 4: Simplify right side
    831.99x = 354,646.14
  5. Step 5: Solve for x
    x = 354,646.14/831.99
  6. Step 6: Final answer
    x = 426.26

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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.