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Finding the Fourth Proportional to 941.81, 1,299.46 and 563.54

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Solution

The fourth proportional to 941.81, 1,299.46 and 563.54 is: 777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.81 : 1,299.46 = 563.54 : x
  2. Step 2: Convert to fraction form
    941.81/1,299.46 = 563.54/x
  3. Step 3: Cross multiply
    941.81x = 1,299.46 × 563.54
  4. Step 4: Simplify right side
    941.81x = 732,295.06
  5. Step 5: Solve for x
    x = 732,295.06/941.81
  6. Step 6: Final answer
    x = 777.54

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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.