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Finding the Fourth Proportional to 984.04, 1,473.09 and 852.82

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Solution

The fourth proportional to 984.04, 1,473.09 and 852.82 is: 1,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.04 : 1,473.09 = 852.82 : x
  2. Step 2: Convert to fraction form
    984.04/1,473.09 = 852.82/x
  3. Step 3: Cross multiply
    984.04x = 1,473.09 × 852.82
  4. Step 4: Simplify right side
    984.04x = 1,256,280.61
  5. Step 5: Solve for x
    x = 1,256,280.61/984.04
  6. Step 6: Final answer
    x = 1,276.66

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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.