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Finding the Fourth Proportional to 834.79, 1,251.73 and 445.23

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Solution

The fourth proportional to 834.79, 1,251.73 and 445.23 is: 667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.79 : 1,251.73 = 445.23 : x
  2. Step 2: Convert to fraction form
    834.79/1,251.73 = 445.23/x
  3. Step 3: Cross multiply
    834.79x = 1,251.73 × 445.23
  4. Step 4: Simplify right side
    834.79x = 557,307.75
  5. Step 5: Solve for x
    x = 557,307.75/834.79
  6. Step 6: Final answer
    x = 667.60

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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.