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Finding the Fourth Proportional to 1,216.09, 1,677.51 and 843.28

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Solution

The fourth proportional to 1,216.09, 1,677.51 and 843.28 is: 1,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.09 : 1,677.51 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,216.09/1,677.51 = 843.28/x
  3. Step 3: Cross multiply
    1,216.09x = 1,677.51 × 843.28
  4. Step 4: Simplify right side
    1,216.09x = 1,414,610.63
  5. Step 5: Solve for x
    x = 1,414,610.63/1,216.09
  6. Step 6: Final answer
    x = 1,163.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.