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Finding the Fourth Proportional to 936.73, 1,405.26 and 631.57

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Solution

The fourth proportional to 936.73, 1,405.26 and 631.57 is: 947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.73 : 1,405.26 = 631.57 : x
  2. Step 2: Convert to fraction form
    936.73/1,405.26 = 631.57/x
  3. Step 3: Cross multiply
    936.73x = 1,405.26 × 631.57
  4. Step 4: Simplify right side
    936.73x = 887,524.02
  5. Step 5: Solve for x
    x = 887,524.02/936.73
  6. Step 6: Final answer
    x = 947.47

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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.