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Finding the Fourth Proportional to 1,327.76, 1,832.30 and 738.29

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Solution

The fourth proportional to 1,327.76, 1,832.30 and 738.29 is: 1,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.76 : 1,832.30 = 738.29 : x
  2. Step 2: Convert to fraction form
    1,327.76/1,832.30 = 738.29/x
  3. Step 3: Cross multiply
    1,327.76x = 1,832.30 × 738.29
  4. Step 4: Simplify right side
    1,327.76x = 1,352,775.19
  5. Step 5: Solve for x
    x = 1,352,775.19/1,327.76
  6. Step 6: Final answer
    x = 1,018.84

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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.