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Finding the Fourth Proportional to 776.78, 1,166.32 and 518.39

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Solution

The fourth proportional to 776.78, 1,166.32 and 518.39 is: 778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.78 : 1,166.32 = 518.39 : x
  2. Step 2: Convert to fraction form
    776.78/1,166.32 = 518.39/x
  3. Step 3: Cross multiply
    776.78x = 1,166.32 × 518.39
  4. Step 4: Simplify right side
    776.78x = 604,607.33
  5. Step 5: Solve for x
    x = 604,607.33/776.78
  6. Step 6: Final answer
    x = 778.35

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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.