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Finding the Fourth Proportional to 770.28, 1,154.00 and 423.09

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Solution

The fourth proportional to 770.28, 1,154.00 and 423.09 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.28 : 1,154.00 = 423.09 : x
  2. Step 2: Convert to fraction form
    770.28/1,154.00 = 423.09/x
  3. Step 3: Cross multiply
    770.28x = 1,154.00 × 423.09
  4. Step 4: Simplify right side
    770.28x = 488,243.74
  5. Step 5: Solve for x
    x = 488,243.74/770.28
  6. Step 6: Final answer
    x = 633.85

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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.