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Finding the Fourth Proportional to 1,301.87, 1,797.39 and 804.94

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Solution

The fourth proportional to 1,301.87, 1,797.39 and 804.94 is: 1,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.87 : 1,797.39 = 804.94 : x
  2. Step 2: Convert to fraction form
    1,301.87/1,797.39 = 804.94/x
  3. Step 3: Cross multiply
    1,301.87x = 1,797.39 × 804.94
  4. Step 4: Simplify right side
    1,301.87x = 1,446,786.61
  5. Step 5: Solve for x
    x = 1,446,786.61/1,301.87
  6. Step 6: Final answer
    x = 1,111.31

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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.