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Finding the Fourth Proportional to 1,185.80, 1,778.70 and 320.11

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Solution

The fourth proportional to 1,185.80, 1,778.70 and 320.11 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.80 : 1,778.70 = 320.11 : x
  2. Step 2: Convert to fraction form
    1,185.80/1,778.70 = 320.11/x
  3. Step 3: Cross multiply
    1,185.80x = 1,778.70 × 320.11
  4. Step 4: Simplify right side
    1,185.80x = 569,379.66
  5. Step 5: Solve for x
    x = 569,379.66/1,185.80
  6. Step 6: Final answer
    x = 480.17

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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.