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Finding the Fourth Proportional to 770.45, 1,155.69 and 222.75

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Solution

The fourth proportional to 770.45, 1,155.69 and 222.75 is: 334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.45 : 1,155.69 = 222.75 : x
  2. Step 2: Convert to fraction form
    770.45/1,155.69 = 222.75/x
  3. Step 3: Cross multiply
    770.45x = 1,155.69 × 222.75
  4. Step 4: Simplify right side
    770.45x = 257,429.95
  5. Step 5: Solve for x
    x = 257,429.95/770.45
  6. Step 6: Final answer
    x = 334.13

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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.