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Finding the Fourth Proportional to 1,181.90, 1,770.45 and 547.77

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Solution

The fourth proportional to 1,181.90, 1,770.45 and 547.77 is: 820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.90 : 1,770.45 = 547.77 : x
  2. Step 2: Convert to fraction form
    1,181.90/1,770.45 = 547.77/x
  3. Step 3: Cross multiply
    1,181.90x = 1,770.45 × 547.77
  4. Step 4: Simplify right side
    1,181.90x = 969,799.40
  5. Step 5: Solve for x
    x = 969,799.40/1,181.90
  6. Step 6: Final answer
    x = 820.54

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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.