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Finding the Fourth Proportional to 1,185.70, 1,778.34 and 319.82

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Solution

The fourth proportional to 1,185.70, 1,778.34 and 319.82 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.70 : 1,778.34 = 319.82 : x
  2. Step 2: Convert to fraction form
    1,185.70/1,778.34 = 319.82/x
  3. Step 3: Cross multiply
    1,185.70x = 1,778.34 × 319.82
  4. Step 4: Simplify right side
    1,185.70x = 568,748.70
  5. Step 5: Solve for x
    x = 568,748.70/1,185.70
  6. Step 6: Final answer
    x = 479.67

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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.