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Finding the Fourth Proportional to 860.38, 1,290.87 and 427.84

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Solution

The fourth proportional to 860.38, 1,290.87 and 427.84 is: 641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.38 : 1,290.87 = 427.84 : x
  2. Step 2: Convert to fraction form
    860.38/1,290.87 = 427.84/x
  3. Step 3: Cross multiply
    860.38x = 1,290.87 × 427.84
  4. Step 4: Simplify right side
    860.38x = 552,285.82
  5. Step 5: Solve for x
    x = 552,285.82/860.38
  6. Step 6: Final answer
    x = 641.91

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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.