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Finding the Fourth Proportional to 984.57, 1,476.61 and 436.44

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Solution

The fourth proportional to 984.57, 1,476.61 and 436.44 is: 654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.57 : 1,476.61 = 436.44 : x
  2. Step 2: Convert to fraction form
    984.57/1,476.61 = 436.44/x
  3. Step 3: Cross multiply
    984.57x = 1,476.61 × 436.44
  4. Step 4: Simplify right side
    984.57x = 644,451.67
  5. Step 5: Solve for x
    x = 644,451.67/984.57
  6. Step 6: Final answer
    x = 654.55

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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.