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Finding the Fourth Proportional to 936.84, 1,293.03 and 538.78

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Solution

The fourth proportional to 936.84, 1,293.03 and 538.78 is: 743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.84 : 1,293.03 = 538.78 : x
  2. Step 2: Convert to fraction form
    936.84/1,293.03 = 538.78/x
  3. Step 3: Cross multiply
    936.84x = 1,293.03 × 538.78
  4. Step 4: Simplify right side
    936.84x = 696,651.99
  5. Step 5: Solve for x
    x = 696,651.99/936.84
  6. Step 6: Final answer
    x = 743.62

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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.