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Finding the Fourth Proportional to 1,323, 1,825.74 and 771

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Solution

The fourth proportional to 1,323, 1,825.74 and 771 is: 1,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323 : 1,825.74 = 771 : x
  2. Step 2: Convert to fraction form
    1,323/1,825.74 = 771/x
  3. Step 3: Cross multiply
    1,323x = 1,825.74 × 771
  4. Step 4: Simplify right side
    1,323x = 1,407,645.54
  5. Step 5: Solve for x
    x = 1,407,645.54/1,323
  6. Step 6: Final answer
    x = 1,063.98

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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.