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Finding the Fourth Proportional to 936.50, 1,292.33 and 563.27

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Solution

The fourth proportional to 936.50, 1,292.33 and 563.27 is: 777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,292.33 = 563.27 : x
  2. Step 2: Convert to fraction form
    936.50/1,292.33 = 563.27/x
  3. Step 3: Cross multiply
    936.50x = 1,292.33 × 563.27
  4. Step 4: Simplify right side
    936.50x = 727,925.67
  5. Step 5: Solve for x
    x = 727,925.67/936.50
  6. Step 6: Final answer
    x = 777.29

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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.