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Finding the Fourth Proportional to 933.63, 1,288.41 and 513.97

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Solution

The fourth proportional to 933.63, 1,288.41 and 513.97 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.63 : 1,288.41 = 513.97 : x
  2. Step 2: Convert to fraction form
    933.63/1,288.41 = 513.97/x
  3. Step 3: Cross multiply
    933.63x = 1,288.41 × 513.97
  4. Step 4: Simplify right side
    933.63x = 662,204.09
  5. Step 5: Solve for x
    x = 662,204.09/933.63
  6. Step 6: Final answer
    x = 709.28

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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.