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Finding the Fourth Proportional to 1,185.47, 1,778.20 and 319.78

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Solution

The fourth proportional to 1,185.47, 1,778.20 and 319.78 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.47 : 1,778.20 = 319.78 : x
  2. Step 2: Convert to fraction form
    1,185.47/1,778.20 = 319.78/x
  3. Step 3: Cross multiply
    1,185.47x = 1,778.20 × 319.78
  4. Step 4: Simplify right side
    1,185.47x = 568,636.02
  5. Step 5: Solve for x
    x = 568,636.02/1,185.47
  6. Step 6: Final answer
    x = 479.67

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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.