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Finding the Fourth Proportional to 936.42, 1,292.32 and 563.40

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Solution

The fourth proportional to 936.42, 1,292.32 and 563.40 is: 777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.42 : 1,292.32 = 563.40 : x
  2. Step 2: Convert to fraction form
    936.42/1,292.32 = 563.40/x
  3. Step 3: Cross multiply
    936.42x = 1,292.32 × 563.40
  4. Step 4: Simplify right side
    936.42x = 728,093.09
  5. Step 5: Solve for x
    x = 728,093.09/936.42
  6. Step 6: Final answer
    x = 777.53

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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.