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Finding the Fourth Proportional to 1,230.75, 1,844.94 and 536.79

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Solution

The fourth proportional to 1,230.75, 1,844.94 and 536.79 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.75 : 1,844.94 = 536.79 : x
  2. Step 2: Convert to fraction form
    1,230.75/1,844.94 = 536.79/x
  3. Step 3: Cross multiply
    1,230.75x = 1,844.94 × 536.79
  4. Step 4: Simplify right side
    1,230.75x = 990,345.34
  5. Step 5: Solve for x
    x = 990,345.34/1,230.75
  6. Step 6: Final answer
    x = 804.67

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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.