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Finding the Fourth Proportional to 984.32, 1,358.37 and 611.47

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Solution

The fourth proportional to 984.32, 1,358.37 and 611.47 is: 843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.32 : 1,358.37 = 611.47 : x
  2. Step 2: Convert to fraction form
    984.32/1,358.37 = 611.47/x
  3. Step 3: Cross multiply
    984.32x = 1,358.37 × 611.47
  4. Step 4: Simplify right side
    984.32x = 830,596.56
  5. Step 5: Solve for x
    x = 830,596.56/984.32
  6. Step 6: Final answer
    x = 843.83

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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.