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Finding the Fourth Proportional to 770.84, 1,156.66 and 768.42

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Solution

The fourth proportional to 770.84, 1,156.66 and 768.42 is: 1,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.84 : 1,156.66 = 768.42 : x
  2. Step 2: Convert to fraction form
    770.84/1,156.66 = 768.42/x
  3. Step 3: Cross multiply
    770.84x = 1,156.66 × 768.42
  4. Step 4: Simplify right side
    770.84x = 888,800.68
  5. Step 5: Solve for x
    x = 888,800.68/770.84
  6. Step 6: Final answer
    x = 1,153.03

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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.