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Finding the Fourth Proportional to 773.10, 1,157.07 and 421.23

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Solution

The fourth proportional to 773.10, 1,157.07 and 421.23 is: 630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.10 : 1,157.07 = 421.23 : x
  2. Step 2: Convert to fraction form
    773.10/1,157.07 = 421.23/x
  3. Step 3: Cross multiply
    773.10x = 1,157.07 × 421.23
  4. Step 4: Simplify right side
    773.10x = 487,392.60
  5. Step 5: Solve for x
    x = 487,392.60/773.10
  6. Step 6: Final answer
    x = 630.44

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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.