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Finding the Fourth Proportional to 983.17, 1,356.85 and 563.65

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Solution

The fourth proportional to 983.17, 1,356.85 and 563.65 is: 777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.17 : 1,356.85 = 563.65 : x
  2. Step 2: Convert to fraction form
    983.17/1,356.85 = 563.65/x
  3. Step 3: Cross multiply
    983.17x = 1,356.85 × 563.65
  4. Step 4: Simplify right side
    983.17x = 764,788.50
  5. Step 5: Solve for x
    x = 764,788.50/983.17
  6. Step 6: Final answer
    x = 777.88

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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.