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Finding the Fourth Proportional to 831.57, 1,245.07 and 599.20

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Solution

The fourth proportional to 831.57, 1,245.07 and 599.20 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,245.07 = 599.20 : x
  2. Step 2: Convert to fraction form
    831.57/1,245.07 = 599.20/x
  3. Step 3: Cross multiply
    831.57x = 1,245.07 × 599.20
  4. Step 4: Simplify right side
    831.57x = 746,043.58
  5. Step 5: Solve for x
    x = 746,043.58/831.57
  6. Step 6: Final answer
    x = 897.15

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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.