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Finding the Fourth Proportional to 980.94, 1,472.03 and 403.82

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Solution

The fourth proportional to 980.94, 1,472.03 and 403.82 is: 605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.94 : 1,472.03 = 403.82 : x
  2. Step 2: Convert to fraction form
    980.94/1,472.03 = 403.82/x
  3. Step 3: Cross multiply
    980.94x = 1,472.03 × 403.82
  4. Step 4: Simplify right side
    980.94x = 594,425.78
  5. Step 5: Solve for x
    x = 594,425.78/980.94
  6. Step 6: Final answer
    x = 605.98

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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.