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Finding the Fourth Proportional to 1,328.22, 1,992.96 and 865.89

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Solution

The fourth proportional to 1,328.22, 1,992.96 and 865.89 is: 1,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.22 : 1,992.96 = 865.89 : x
  2. Step 2: Convert to fraction form
    1,328.22/1,992.96 = 865.89/x
  3. Step 3: Cross multiply
    1,328.22x = 1,992.96 × 865.89
  4. Step 4: Simplify right side
    1,328.22x = 1,725,684.13
  5. Step 5: Solve for x
    x = 1,725,684.13/1,328.22
  6. Step 6: Final answer
    x = 1,299.25

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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.