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Finding the Fourth Proportional to 770.11, 1,154.10 and 423.03

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Solution

The fourth proportional to 770.11, 1,154.10 and 423.03 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.11 : 1,154.10 = 423.03 : x
  2. Step 2: Convert to fraction form
    770.11/1,154.10 = 423.03/x
  3. Step 3: Cross multiply
    770.11x = 1,154.10 × 423.03
  4. Step 4: Simplify right side
    770.11x = 488,218.92
  5. Step 5: Solve for x
    x = 488,218.92/770.11
  6. Step 6: Final answer
    x = 633.96

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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.