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Finding the Fourth Proportional to 1,165.85, 1,608.05 and 746.33

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Solution

The fourth proportional to 1,165.85, 1,608.05 and 746.33 is: 1,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.85 : 1,608.05 = 746.33 : x
  2. Step 2: Convert to fraction form
    1,165.85/1,608.05 = 746.33/x
  3. Step 3: Cross multiply
    1,165.85x = 1,608.05 × 746.33
  4. Step 4: Simplify right side
    1,165.85x = 1,200,129.78
  5. Step 5: Solve for x
    x = 1,200,129.78/1,165.85
  6. Step 6: Final answer
    x = 1,029.40

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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.