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Finding the Fourth Proportional to 1,329.46, 1,835.08 and 831.78

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Solution

The fourth proportional to 1,329.46, 1,835.08 and 831.78 is: 1,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.46 : 1,835.08 = 831.78 : x
  2. Step 2: Convert to fraction form
    1,329.46/1,835.08 = 831.78/x
  3. Step 3: Cross multiply
    1,329.46x = 1,835.08 × 831.78
  4. Step 4: Simplify right side
    1,329.46x = 1,526,380.76
  5. Step 5: Solve for x
    x = 1,526,380.76/1,329.46
  6. Step 6: Final answer
    x = 1,148.12

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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.