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Finding the Fourth Proportional to 770.22, 1,154.12 and 423.03

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Solution

The fourth proportional to 770.22, 1,154.12 and 423.03 is: 633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.22 : 1,154.12 = 423.03 : x
  2. Step 2: Convert to fraction form
    770.22/1,154.12 = 423.03/x
  3. Step 3: Cross multiply
    770.22x = 1,154.12 × 423.03
  4. Step 4: Simplify right side
    770.22x = 488,229.60
  5. Step 5: Solve for x
    x = 488,229.60/770.22
  6. Step 6: Final answer
    x = 633.88

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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.