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Finding the Fourth Proportional to 1,216.22, 1,676.70 and 917.33

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Solution

The fourth proportional to 1,216.22, 1,676.70 and 917.33 is: 1,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.22 : 1,676.70 = 917.33 : x
  2. Step 2: Convert to fraction form
    1,216.22/1,676.70 = 917.33/x
  3. Step 3: Cross multiply
    1,216.22x = 1,676.70 × 917.33
  4. Step 4: Simplify right side
    1,216.22x = 1,538,078.83
  5. Step 5: Solve for x
    x = 1,538,078.83/1,216.22
  6. Step 6: Final answer
    x = 1,264.64

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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.