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Finding the Fourth Proportional to 984.20, 1,357.62 and 852.98

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Solution

The fourth proportional to 984.20, 1,357.62 and 852.98 is: 1,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.20 : 1,357.62 = 852.98 : x
  2. Step 2: Convert to fraction form
    984.20/1,357.62 = 852.98/x
  3. Step 3: Cross multiply
    984.20x = 1,357.62 × 852.98
  4. Step 4: Simplify right side
    984.20x = 1,158,022.71
  5. Step 5: Solve for x
    x = 1,158,022.71/984.20
  6. Step 6: Final answer
    x = 1,176.61

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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.