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Finding the Fourth Proportional to 1,348.92, 2,023.38 and 865.05

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Solution

The fourth proportional to 1,348.92, 2,023.38 and 865.05 is: 1,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.92 : 2,023.38 = 865.05 : x
  2. Step 2: Convert to fraction form
    1,348.92/2,023.38 = 865.05/x
  3. Step 3: Cross multiply
    1,348.92x = 2,023.38 × 865.05
  4. Step 4: Simplify right side
    1,348.92x = 1,750,324.87
  5. Step 5: Solve for x
    x = 1,750,324.87/1,348.92
  6. Step 6: Final answer
    x = 1,297.58

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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.