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Finding the Fourth Proportional to 825.99, 1,238.68 and 594.18

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Solution

The fourth proportional to 825.99, 1,238.68 and 594.18 is: 891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.99 : 1,238.68 = 594.18 : x
  2. Step 2: Convert to fraction form
    825.99/1,238.68 = 594.18/x
  3. Step 3: Cross multiply
    825.99x = 1,238.68 × 594.18
  4. Step 4: Simplify right side
    825.99x = 735,998.88
  5. Step 5: Solve for x
    x = 735,998.88/825.99
  6. Step 6: Final answer
    x = 891.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.