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Finding the Fourth Proportional to 851.91, 1,277.70 and 389.58

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Solution

The fourth proportional to 851.91, 1,277.70 and 389.58 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.91 : 1,277.70 = 389.58 : x
  2. Step 2: Convert to fraction form
    851.91/1,277.70 = 389.58/x
  3. Step 3: Cross multiply
    851.91x = 1,277.70 × 389.58
  4. Step 4: Simplify right side
    851.91x = 497,766.37
  5. Step 5: Solve for x
    x = 497,766.37/851.91
  6. Step 6: Final answer
    x = 584.29

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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.