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Finding the Fourth Proportional to 831.18, 1,146.20 and 536.60

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Solution

The fourth proportional to 831.18, 1,146.20 and 536.60 is: 739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.18 : 1,146.20 = 536.60 : x
  2. Step 2: Convert to fraction form
    831.18/1,146.20 = 536.60/x
  3. Step 3: Cross multiply
    831.18x = 1,146.20 × 536.60
  4. Step 4: Simplify right side
    831.18x = 615,050.92
  5. Step 5: Solve for x
    x = 615,050.92/831.18
  6. Step 6: Final answer
    x = 739.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.