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Finding the Fourth Proportional to 936.91, 1,293.02 and 538.63

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Solution

The fourth proportional to 936.91, 1,293.02 and 538.63 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.91 : 1,293.02 = 538.63 : x
  2. Step 2: Convert to fraction form
    936.91/1,293.02 = 538.63/x
  3. Step 3: Cross multiply
    936.91x = 1,293.02 × 538.63
  4. Step 4: Simplify right side
    936.91x = 696,459.36
  5. Step 5: Solve for x
    x = 696,459.36/936.91
  6. Step 6: Final answer
    x = 743.36

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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.