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Finding the Fourth Proportional to 1,185.67, 1,778.10 and 482.86

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Solution

The fourth proportional to 1,185.67, 1,778.10 and 482.86 is: 724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.67 : 1,778.10 = 482.86 : x
  2. Step 2: Convert to fraction form
    1,185.67/1,778.10 = 482.86/x
  3. Step 3: Cross multiply
    1,185.67x = 1,778.10 × 482.86
  4. Step 4: Simplify right side
    1,185.67x = 858,573.37
  5. Step 5: Solve for x
    x = 858,573.37/1,185.67
  6. Step 6: Final answer
    x = 724.13

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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.