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Finding the Fourth Proportional to 984.24, 1,357.78 and 629.98

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Solution

The fourth proportional to 984.24, 1,357.78 and 629.98 is: 869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.24 : 1,357.78 = 629.98 : x
  2. Step 2: Convert to fraction form
    984.24/1,357.78 = 629.98/x
  3. Step 3: Cross multiply
    984.24x = 1,357.78 × 629.98
  4. Step 4: Simplify right side
    984.24x = 855,374.24
  5. Step 5: Solve for x
    x = 855,374.24/984.24
  6. Step 6: Final answer
    x = 869.07

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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.