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Finding the Fourth Proportional to 1,026.69, 1,546.96 and 848.09

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Solution

The fourth proportional to 1,026.69, 1,546.96 and 848.09 is: 1,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.69 : 1,546.96 = 848.09 : x
  2. Step 2: Convert to fraction form
    1,026.69/1,546.96 = 848.09/x
  3. Step 3: Cross multiply
    1,026.69x = 1,546.96 × 848.09
  4. Step 4: Simplify right side
    1,026.69x = 1,311,961.31
  5. Step 5: Solve for x
    x = 1,311,961.31/1,026.69
  6. Step 6: Final answer
    x = 1,277.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.