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Finding the Fourth Proportional to 770.71, 1,156.24 and 222.94

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Solution

The fourth proportional to 770.71, 1,156.24 and 222.94 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,156.24 = 222.94 : x
  2. Step 2: Convert to fraction form
    770.71/1,156.24 = 222.94/x
  3. Step 3: Cross multiply
    770.71x = 1,156.24 × 222.94
  4. Step 4: Simplify right side
    770.71x = 257,772.04
  5. Step 5: Solve for x
    x = 257,772.04/770.71
  6. Step 6: Final answer
    x = 334.46

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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.