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Finding the Fourth Proportional to 770.82, 1,155.60 and 308.49

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Solution

The fourth proportional to 770.82, 1,155.60 and 308.49 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,155.60 = 308.49 : x
  2. Step 2: Convert to fraction form
    770.82/1,155.60 = 308.49/x
  3. Step 3: Cross multiply
    770.82x = 1,155.60 × 308.49
  4. Step 4: Simplify right side
    770.82x = 356,491.04
  5. Step 5: Solve for x
    x = 356,491.04/770.82
  6. Step 6: Final answer
    x = 462.48

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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.