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Finding the Fourth Proportional to 859.00, 1,288.60 and 643.94

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Solution

The fourth proportional to 859.00, 1,288.60 and 643.94 is: 965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.00 : 1,288.60 = 643.94 : x
  2. Step 2: Convert to fraction form
    859.00/1,288.60 = 643.94/x
  3. Step 3: Cross multiply
    859.00x = 1,288.60 × 643.94
  4. Step 4: Simplify right side
    859.00x = 829,782.70
  5. Step 5: Solve for x
    x = 829,782.70/859.00
  6. Step 6: Final answer
    x = 965.99

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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.