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Finding the Fourth Proportional to 1,366.97, 1,886.42 and 745.97

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Solution

The fourth proportional to 1,366.97, 1,886.42 and 745.97 is: 1,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.97 : 1,886.42 = 745.97 : x
  2. Step 2: Convert to fraction form
    1,366.97/1,886.42 = 745.97/x
  3. Step 3: Cross multiply
    1,366.97x = 1,886.42 × 745.97
  4. Step 4: Simplify right side
    1,366.97x = 1,407,219.31
  5. Step 5: Solve for x
    x = 1,407,219.31/1,366.97
  6. Step 6: Final answer
    x = 1,029.44

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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.