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Finding the Fourth Proportional to 828.67, 1,143.59 and 455.67

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Solution

The fourth proportional to 828.67, 1,143.59 and 455.67 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.67 : 1,143.59 = 455.67 : x
  2. Step 2: Convert to fraction form
    828.67/1,143.59 = 455.67/x
  3. Step 3: Cross multiply
    828.67x = 1,143.59 × 455.67
  4. Step 4: Simplify right side
    828.67x = 521,095.08
  5. Step 5: Solve for x
    x = 521,095.08/828.67
  6. Step 6: Final answer
    x = 628.83

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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.