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Finding the Fourth Proportional to 777.48, 1,166.67 and 717.33

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Solution

The fourth proportional to 777.48, 1,166.67 and 717.33 is: 1,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,166.67 = 717.33 : x
  2. Step 2: Convert to fraction form
    777.48/1,166.67 = 717.33/x
  3. Step 3: Cross multiply
    777.48x = 1,166.67 × 717.33
  4. Step 4: Simplify right side
    777.48x = 836,891.77
  5. Step 5: Solve for x
    x = 836,891.77/777.48
  6. Step 6: Final answer
    x = 1,076.42

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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.