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Finding the Fourth Proportional to 851.99, 1,277.99 and 389.65

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Solution

The fourth proportional to 851.99, 1,277.99 and 389.65 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.99 : 1,277.99 = 389.65 : x
  2. Step 2: Convert to fraction form
    851.99/1,277.99 = 389.65/x
  3. Step 3: Cross multiply
    851.99x = 1,277.99 × 389.65
  4. Step 4: Simplify right side
    851.99x = 497,968.80
  5. Step 5: Solve for x
    x = 497,968.80/851.99
  6. Step 6: Final answer
    x = 584.48

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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.