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Finding the Fourth Proportional to 936.50, 1,292.07 and 563.60

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Solution

The fourth proportional to 936.50, 1,292.07 and 563.60 is: 777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,292.07 = 563.60 : x
  2. Step 2: Convert to fraction form
    936.50/1,292.07 = 563.60/x
  3. Step 3: Cross multiply
    936.50x = 1,292.07 × 563.60
  4. Step 4: Simplify right side
    936.50x = 728,210.65
  5. Step 5: Solve for x
    x = 728,210.65/936.50
  6. Step 6: Final answer
    x = 777.59

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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.