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Finding the Fourth Proportional to 777.70, 1,166.07 and 264.74

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Solution

The fourth proportional to 777.70, 1,166.07 and 264.74 is: 396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,166.07 = 264.74 : x
  2. Step 2: Convert to fraction form
    777.70/1,166.07 = 264.74/x
  3. Step 3: Cross multiply
    777.70x = 1,166.07 × 264.74
  4. Step 4: Simplify right side
    777.70x = 308,705.37
  5. Step 5: Solve for x
    x = 308,705.37/777.70
  6. Step 6: Final answer
    x = 396.95

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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.