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Finding the Fourth Proportional to 983.48, 1,357.07 and 563.85

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Solution

The fourth proportional to 983.48, 1,357.07 and 563.85 is: 778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.48 : 1,357.07 = 563.85 : x
  2. Step 2: Convert to fraction form
    983.48/1,357.07 = 563.85/x
  3. Step 3: Cross multiply
    983.48x = 1,357.07 × 563.85
  4. Step 4: Simplify right side
    983.48x = 765,181.10
  5. Step 5: Solve for x
    x = 765,181.10/983.48
  6. Step 6: Final answer
    x = 778.04

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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.