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Finding the Fourth Proportional to 777.85, 1,166.89 and 257.67

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Solution

The fourth proportional to 777.85, 1,166.89 and 257.67 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.85 : 1,166.89 = 257.67 : x
  2. Step 2: Convert to fraction form
    777.85/1,166.89 = 257.67/x
  3. Step 3: Cross multiply
    777.85x = 1,166.89 × 257.67
  4. Step 4: Simplify right side
    777.85x = 300,671.90
  5. Step 5: Solve for x
    x = 300,671.90/777.85
  6. Step 6: Final answer
    x = 386.54

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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.