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Finding the Fourth Proportional to 828.16, 1,242.14 and 462.71

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Solution

The fourth proportional to 828.16, 1,242.14 and 462.71 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.16 : 1,242.14 = 462.71 : x
  2. Step 2: Convert to fraction form
    828.16/1,242.14 = 462.71/x
  3. Step 3: Cross multiply
    828.16x = 1,242.14 × 462.71
  4. Step 4: Simplify right side
    828.16x = 574,751.39
  5. Step 5: Solve for x
    x = 574,751.39/828.16
  6. Step 6: Final answer
    x = 694.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.