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Finding the Fourth Proportional to 828.14, 1,142.81 and 455.10

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Solution

The fourth proportional to 828.14, 1,142.81 and 455.10 is: 628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,142.81 = 455.10 : x
  2. Step 2: Convert to fraction form
    828.14/1,142.81 = 455.10/x
  3. Step 3: Cross multiply
    828.14x = 1,142.81 × 455.10
  4. Step 4: Simplify right side
    828.14x = 520,090.56
  5. Step 5: Solve for x
    x = 520,090.56/828.14
  6. Step 6: Final answer
    x = 628.03

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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.