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Finding the Fourth Proportional to 776.89, 1,162.97 and 557.78

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Solution

The fourth proportional to 776.89, 1,162.97 and 557.78 is: 834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.89 : 1,162.97 = 557.78 : x
  2. Step 2: Convert to fraction form
    776.89/1,162.97 = 557.78/x
  3. Step 3: Cross multiply
    776.89x = 1,162.97 × 557.78
  4. Step 4: Simplify right side
    776.89x = 648,678.62
  5. Step 5: Solve for x
    x = 648,678.62/776.89
  6. Step 6: Final answer
    x = 834.97

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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.