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Finding the Fourth Proportional to 936.28, 1,403.85 and 689.63

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Solution

The fourth proportional to 936.28, 1,403.85 and 689.63 is: 1,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.28 : 1,403.85 = 689.63 : x
  2. Step 2: Convert to fraction form
    936.28/1,403.85 = 689.63/x
  3. Step 3: Cross multiply
    936.28x = 1,403.85 × 689.63
  4. Step 4: Simplify right side
    936.28x = 968,143.17
  5. Step 5: Solve for x
    x = 968,143.17/936.28
  6. Step 6: Final answer
    x = 1,034.03

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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.