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Finding the Fourth Proportional to 1,327.42, 1,990.32 and 547.18

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Solution

The fourth proportional to 1,327.42, 1,990.32 and 547.18 is: 820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.42 : 1,990.32 = 547.18 : x
  2. Step 2: Convert to fraction form
    1,327.42/1,990.32 = 547.18/x
  3. Step 3: Cross multiply
    1,327.42x = 1,990.32 × 547.18
  4. Step 4: Simplify right side
    1,327.42x = 1,089,063.30
  5. Step 5: Solve for x
    x = 1,089,063.30/1,327.42
  6. Step 6: Final answer
    x = 820.44

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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.