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Finding the Fourth Proportional to 1,230.26, 1,845.90 and 536.80

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Solution

The fourth proportional to 1,230.26, 1,845.90 and 536.80 is: 805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.26 : 1,845.90 = 536.80 : x
  2. Step 2: Convert to fraction form
    1,230.26/1,845.90 = 536.80/x
  3. Step 3: Cross multiply
    1,230.26x = 1,845.90 × 536.80
  4. Step 4: Simplify right side
    1,230.26x = 990,879.12
  5. Step 5: Solve for x
    x = 990,879.12/1,230.26
  6. Step 6: Final answer
    x = 805.42

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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.