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Finding the Fourth Proportional to 927.35, 1,280.91 and 770.61

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Solution

The fourth proportional to 927.35, 1,280.91 and 770.61 is: 1,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.35 : 1,280.91 = 770.61 : x
  2. Step 2: Convert to fraction form
    927.35/1,280.91 = 770.61/x
  3. Step 3: Cross multiply
    927.35x = 1,280.91 × 770.61
  4. Step 4: Simplify right side
    927.35x = 987,089.75
  5. Step 5: Solve for x
    x = 987,089.75/927.35
  6. Step 6: Final answer
    x = 1,064.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.