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Finding the Fourth Proportional to 1,397.04, 2,096.07 and 575.37

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Solution

The fourth proportional to 1,397.04, 2,096.07 and 575.37 is: 863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.04 : 2,096.07 = 575.37 : x
  2. Step 2: Convert to fraction form
    1,397.04/2,096.07 = 575.37/x
  3. Step 3: Cross multiply
    1,397.04x = 2,096.07 × 575.37
  4. Step 4: Simplify right side
    1,397.04x = 1,206,015.80
  5. Step 5: Solve for x
    x = 1,206,015.80/1,397.04
  6. Step 6: Final answer
    x = 863.27

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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.