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Finding the Fourth Proportional to 963.10, 1,441.01 and 573.31

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Solution

The fourth proportional to 963.10, 1,441.01 and 573.31 is: 857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.10 : 1,441.01 = 573.31 : x
  2. Step 2: Convert to fraction form
    963.10/1,441.01 = 573.31/x
  3. Step 3: Cross multiply
    963.10x = 1,441.01 × 573.31
  4. Step 4: Simplify right side
    963.10x = 826,145.44
  5. Step 5: Solve for x
    x = 826,145.44/963.10
  6. Step 6: Final answer
    x = 857.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.