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Finding the Fourth Proportional to 858.14, 1,183.80 and 563.42

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Solution

The fourth proportional to 858.14, 1,183.80 and 563.42 is: 777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.14 : 1,183.80 = 563.42 : x
  2. Step 2: Convert to fraction form
    858.14/1,183.80 = 563.42/x
  3. Step 3: Cross multiply
    858.14x = 1,183.80 × 563.42
  4. Step 4: Simplify right side
    858.14x = 666,976.60
  5. Step 5: Solve for x
    x = 666,976.60/858.14
  6. Step 6: Final answer
    x = 777.24

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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.