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Finding the Fourth Proportional to 828.13, 1,142.84 and 455.14

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Solution

The fourth proportional to 828.13, 1,142.84 and 455.14 is: 628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.13 : 1,142.84 = 455.14 : x
  2. Step 2: Convert to fraction form
    828.13/1,142.84 = 455.14/x
  3. Step 3: Cross multiply
    828.13x = 1,142.84 × 455.14
  4. Step 4: Simplify right side
    828.13x = 520,154.76
  5. Step 5: Solve for x
    x = 520,154.76/828.13
  6. Step 6: Final answer
    x = 628.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.