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Finding the Fourth Proportional to 984.97, 1,477.44 and 924.83

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Solution

The fourth proportional to 984.97, 1,477.44 and 924.83 is: 1,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.97 : 1,477.44 = 924.83 : x
  2. Step 2: Convert to fraction form
    984.97/1,477.44 = 924.83/x
  3. Step 3: Cross multiply
    984.97x = 1,477.44 × 924.83
  4. Step 4: Simplify right side
    984.97x = 1,366,380.84
  5. Step 5: Solve for x
    x = 1,366,380.84/984.97
  6. Step 6: Final answer
    x = 1,387.23

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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.