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Finding the Fourth Proportional to 1,785.83, 2,679.50 and 746.03

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Solution

The fourth proportional to 1,785.83, 2,679.50 and 746.03 is: 1,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.83 : 2,679.50 = 746.03 : x
  2. Step 2: Convert to fraction form
    1,785.83/2,679.50 = 746.03/x
  3. Step 3: Cross multiply
    1,785.83x = 2,679.50 × 746.03
  4. Step 4: Simplify right side
    1,785.83x = 1,998,990.35
  5. Step 5: Solve for x
    x = 1,998,990.35/1,785.83
  6. Step 6: Final answer
    x = 1,119.37

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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.