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Finding the Fourth Proportional to 1,181.38, 1,772.24 and 401.60

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Solution

The fourth proportional to 1,181.38, 1,772.24 and 401.60 is: 602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.38 : 1,772.24 = 401.60 : x
  2. Step 2: Convert to fraction form
    1,181.38/1,772.24 = 401.60/x
  3. Step 3: Cross multiply
    1,181.38x = 1,772.24 × 401.60
  4. Step 4: Simplify right side
    1,181.38x = 711,734.01
  5. Step 5: Solve for x
    x = 711,734.01/1,181.38
  6. Step 6: Final answer
    x = 602.46

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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.