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Finding the Fourth Proportional to 828.14, 1,142.83 and 455.13

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Solution

The fourth proportional to 828.14, 1,142.83 and 455.13 is: 628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,142.83 = 455.13 : x
  2. Step 2: Convert to fraction form
    828.14/1,142.83 = 455.13/x
  3. Step 3: Cross multiply
    828.14x = 1,142.83 × 455.13
  4. Step 4: Simplify right side
    828.14x = 520,129.37
  5. Step 5: Solve for x
    x = 520,129.37/828.14
  6. Step 6: Final answer
    x = 628.07

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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.