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Finding the Fourth Proportional to 828.12, 1,141.20 and 594.84

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Solution

The fourth proportional to 828.12, 1,141.20 and 594.84 is: 819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.12 : 1,141.20 = 594.84 : x
  2. Step 2: Convert to fraction form
    828.12/1,141.20 = 594.84/x
  3. Step 3: Cross multiply
    828.12x = 1,141.20 × 594.84
  4. Step 4: Simplify right side
    828.12x = 678,831.41
  5. Step 5: Solve for x
    x = 678,831.41/828.12
  6. Step 6: Final answer
    x = 819.73

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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.