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Finding the Fourth Proportional to 1,181.66, 1,772.49 and 401.67

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Solution

The fourth proportional to 1,181.66, 1,772.49 and 401.67 is: 602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.66 : 1,772.49 = 401.67 : x
  2. Step 2: Convert to fraction form
    1,181.66/1,772.49 = 401.67/x
  3. Step 3: Cross multiply
    1,181.66x = 1,772.49 × 401.67
  4. Step 4: Simplify right side
    1,181.66x = 711,956.06
  5. Step 5: Solve for x
    x = 711,956.06/1,181.66
  6. Step 6: Final answer
    x = 602.51

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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.