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Finding the Fourth Proportional to 1,556.26, 2,333.78 and 776.02

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Solution

The fourth proportional to 1,556.26, 2,333.78 and 776.02 is: 1,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.26 : 2,333.78 = 776.02 : x
  2. Step 2: Convert to fraction form
    1,556.26/2,333.78 = 776.02/x
  3. Step 3: Cross multiply
    1,556.26x = 2,333.78 × 776.02
  4. Step 4: Simplify right side
    1,556.26x = 1,811,059.96
  5. Step 5: Solve for x
    x = 1,811,059.96/1,556.26
  6. Step 6: Final answer
    x = 1,163.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.