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Finding the Fourth Proportional to 983.10, 1,356.57 and 563.57

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Solution

The fourth proportional to 983.10, 1,356.57 and 563.57 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.10 : 1,356.57 = 563.57 : x
  2. Step 2: Convert to fraction form
    983.10/1,356.57 = 563.57/x
  3. Step 3: Cross multiply
    983.10x = 1,356.57 × 563.57
  4. Step 4: Simplify right side
    983.10x = 764,515.37
  5. Step 5: Solve for x
    x = 764,515.37/983.10
  6. Step 6: Final answer
    x = 777.66

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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.