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Finding the Fourth Proportional to 770.76, 1,156.31 and 222.96

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Solution

The fourth proportional to 770.76, 1,156.31 and 222.96 is: 334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,156.31 = 222.96 : x
  2. Step 2: Convert to fraction form
    770.76/1,156.31 = 222.96/x
  3. Step 3: Cross multiply
    770.76x = 1,156.31 × 222.96
  4. Step 4: Simplify right side
    770.76x = 257,814.94
  5. Step 5: Solve for x
    x = 257,814.94/770.76
  6. Step 6: Final answer
    x = 334.49

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1.5x scale

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.