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Finding the Fourth Proportional to 1,745.03, 2,615.92 and 589.97

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Solution

The fourth proportional to 1,745.03, 2,615.92 and 589.97 is: 884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.03 : 2,615.92 = 589.97 : x
  2. Step 2: Convert to fraction form
    1,745.03/2,615.92 = 589.97/x
  3. Step 3: Cross multiply
    1,745.03x = 2,615.92 × 589.97
  4. Step 4: Simplify right side
    1,745.03x = 1,543,314.32
  5. Step 5: Solve for x
    x = 1,543,314.32/1,745.03
  6. Step 6: Final answer
    x = 884.41

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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.