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Finding the Fourth Proportional to 858.32, 1,183.41 and 700.80

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Solution

The fourth proportional to 858.32, 1,183.41 and 700.80 is: 966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.32 : 1,183.41 = 700.80 : x
  2. Step 2: Convert to fraction form
    858.32/1,183.41 = 700.80/x
  3. Step 3: Cross multiply
    858.32x = 1,183.41 × 700.80
  4. Step 4: Simplify right side
    858.32x = 829,324.31
  5. Step 5: Solve for x
    x = 829,324.31/858.32
  6. Step 6: Final answer
    x = 966.22

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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.