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Finding the Fourth Proportional to 831.12, 1,145.41 and 690.48

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Solution

The fourth proportional to 831.12, 1,145.41 and 690.48 is: 951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.12 : 1,145.41 = 690.48 : x
  2. Step 2: Convert to fraction form
    831.12/1,145.41 = 690.48/x
  3. Step 3: Cross multiply
    831.12x = 1,145.41 × 690.48
  4. Step 4: Simplify right side
    831.12x = 790,882.70
  5. Step 5: Solve for x
    x = 790,882.70/831.12
  6. Step 6: Final answer
    x = 951.59

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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.