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Finding the Fourth Proportional to 982.93, 1,356.50 and 563.38

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Solution

The fourth proportional to 982.93, 1,356.50 and 563.38 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.93 : 1,356.50 = 563.38 : x
  2. Step 2: Convert to fraction form
    982.93/1,356.50 = 563.38/x
  3. Step 3: Cross multiply
    982.93x = 1,356.50 × 563.38
  4. Step 4: Simplify right side
    982.93x = 764,224.97
  5. Step 5: Solve for x
    x = 764,224.97/982.93
  6. Step 6: Final answer
    x = 777.50

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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.