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Finding the Fourth Proportional to 1,181.30, 1,770.48 and 522.48

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Solution

The fourth proportional to 1,181.30, 1,770.48 and 522.48 is: 783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.30 : 1,770.48 = 522.48 : x
  2. Step 2: Convert to fraction form
    1,181.30/1,770.48 = 522.48/x
  3. Step 3: Cross multiply
    1,181.30x = 1,770.48 × 522.48
  4. Step 4: Simplify right side
    1,181.30x = 925,040.39
  5. Step 5: Solve for x
    x = 925,040.39/1,181.30
  6. Step 6: Final answer
    x = 783.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.