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Finding the Fourth Proportional to 701.28, 1,049.04 and 584.64

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Solution

The fourth proportional to 701.28, 1,049.04 and 584.64 is: 874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.28 : 1,049.04 = 584.64 : x
  2. Step 2: Convert to fraction form
    701.28/1,049.04 = 584.64/x
  3. Step 3: Cross multiply
    701.28x = 1,049.04 × 584.64
  4. Step 4: Simplify right side
    701.28x = 613,310.75
  5. Step 5: Solve for x
    x = 613,310.75/701.28
  6. Step 6: Final answer
    x = 874.56

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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.