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Finding the Fourth Proportional to 831.21, 1,246.74 and 460.99

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Solution

The fourth proportional to 831.21, 1,246.74 and 460.99 is: 691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.21 : 1,246.74 = 460.99 : x
  2. Step 2: Convert to fraction form
    831.21/1,246.74 = 460.99/x
  3. Step 3: Cross multiply
    831.21x = 1,246.74 × 460.99
  4. Step 4: Simplify right side
    831.21x = 574,737.10
  5. Step 5: Solve for x
    x = 574,737.10/831.21
  6. Step 6: Final answer
    x = 691.44

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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.