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Finding the Fourth Proportional to 770.94, 1,142.82 and 758.70

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Solution

The fourth proportional to 770.94, 1,142.82 and 758.70 is: 1,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.94 : 1,142.82 = 758.70 : x
  2. Step 2: Convert to fraction form
    770.94/1,142.82 = 758.70/x
  3. Step 3: Cross multiply
    770.94x = 1,142.82 × 758.70
  4. Step 4: Simplify right side
    770.94x = 867,057.53
  5. Step 5: Solve for x
    x = 867,057.53/770.94
  6. Step 6: Final answer
    x = 1,124.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.