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Finding the Fourth Proportional to 936.82, 1,403.91 and 442.70

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Solution

The fourth proportional to 936.82, 1,403.91 and 442.70 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.82 : 1,403.91 = 442.70 : x
  2. Step 2: Convert to fraction form
    936.82/1,403.91 = 442.70/x
  3. Step 3: Cross multiply
    936.82x = 1,403.91 × 442.70
  4. Step 4: Simplify right side
    936.82x = 621,510.96
  5. Step 5: Solve for x
    x = 621,510.96/936.82
  6. Step 6: Final answer
    x = 663.43

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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.