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Finding the Fourth Proportional to 859.99, 1,289.58 and 397.63

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Solution

The fourth proportional to 859.99, 1,289.58 and 397.63 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,289.58 = 397.63 : x
  2. Step 2: Convert to fraction form
    859.99/1,289.58 = 397.63/x
  3. Step 3: Cross multiply
    859.99x = 1,289.58 × 397.63
  4. Step 4: Simplify right side
    859.99x = 512,775.70
  5. Step 5: Solve for x
    x = 512,775.70/859.99
  6. Step 6: Final answer
    x = 596.26

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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.