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Finding the Fourth Proportional to 983.43, 1,357.02 and 563.69

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Solution

The fourth proportional to 983.43, 1,357.02 and 563.69 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.43 : 1,357.02 = 563.69 : x
  2. Step 2: Convert to fraction form
    983.43/1,357.02 = 563.69/x
  3. Step 3: Cross multiply
    983.43x = 1,357.02 × 563.69
  4. Step 4: Simplify right side
    983.43x = 764,931.82
  5. Step 5: Solve for x
    x = 764,931.82/983.43
  6. Step 6: Final answer
    x = 777.82

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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.