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Finding the Fourth Proportional to 770.58, 1,155.94 and 222.75

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Solution

The fourth proportional to 770.58, 1,155.94 and 222.75 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.58 : 1,155.94 = 222.75 : x
  2. Step 2: Convert to fraction form
    770.58/1,155.94 = 222.75/x
  3. Step 3: Cross multiply
    770.58x = 1,155.94 × 222.75
  4. Step 4: Simplify right side
    770.58x = 257,485.08
  5. Step 5: Solve for x
    x = 257,485.08/770.58
  6. Step 6: Final answer
    x = 334.14

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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.