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Finding the Fourth Proportional to 1,407.73, 2,111.75 and 677.51

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Solution

The fourth proportional to 1,407.73, 2,111.75 and 677.51 is: 1,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.73 : 2,111.75 = 677.51 : x
  2. Step 2: Convert to fraction form
    1,407.73/2,111.75 = 677.51/x
  3. Step 3: Cross multiply
    1,407.73x = 2,111.75 × 677.51
  4. Step 4: Simplify right side
    1,407.73x = 1,430,738.23
  5. Step 5: Solve for x
    x = 1,430,738.23/1,407.73
  6. Step 6: Final answer
    x = 1,016.34

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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.