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Finding the Fourth Proportional to 831.11, 1,147.36 and 566.94

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Solution

The fourth proportional to 831.11, 1,147.36 and 566.94 is: 782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.11 : 1,147.36 = 566.94 : x
  2. Step 2: Convert to fraction form
    831.11/1,147.36 = 566.94/x
  3. Step 3: Cross multiply
    831.11x = 1,147.36 × 566.94
  4. Step 4: Simplify right side
    831.11x = 650,484.28
  5. Step 5: Solve for x
    x = 650,484.28/831.11
  6. Step 6: Final answer
    x = 782.67

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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.