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Finding the Fourth Proportional to 1,067.06, 1,471.28 and 752.37

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Solution

The fourth proportional to 1,067.06, 1,471.28 and 752.37 is: 1,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.06 : 1,471.28 = 752.37 : x
  2. Step 2: Convert to fraction form
    1,067.06/1,471.28 = 752.37/x
  3. Step 3: Cross multiply
    1,067.06x = 1,471.28 × 752.37
  4. Step 4: Simplify right side
    1,067.06x = 1,106,943.17
  5. Step 5: Solve for x
    x = 1,106,943.17/1,067.06
  6. Step 6: Final answer
    x = 1,037.38

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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.