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Finding the Fourth Proportional to 983.26, 1,357.07 and 563.64

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Solution

The fourth proportional to 983.26, 1,357.07 and 563.64 is: 777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.26 : 1,357.07 = 563.64 : x
  2. Step 2: Convert to fraction form
    983.26/1,357.07 = 563.64/x
  3. Step 3: Cross multiply
    983.26x = 1,357.07 × 563.64
  4. Step 4: Simplify right side
    983.26x = 764,898.93
  5. Step 5: Solve for x
    x = 764,898.93/983.26
  6. Step 6: Final answer
    x = 777.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.