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Finding the Fourth Proportional to 983.57, 1,357.34 and 563.94

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Solution

The fourth proportional to 983.57, 1,357.34 and 563.94 is: 778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.57 : 1,357.34 = 563.94 : x
  2. Step 2: Convert to fraction form
    983.57/1,357.34 = 563.94/x
  3. Step 3: Cross multiply
    983.57x = 1,357.34 × 563.94
  4. Step 4: Simplify right side
    983.57x = 765,455.50
  5. Step 5: Solve for x
    x = 765,455.50/983.57
  6. Step 6: Final answer
    x = 778.24

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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.