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Finding the Fourth Proportional to 825.99, 1,237.37 and 393.45

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Solution

The fourth proportional to 825.99, 1,237.37 and 393.45 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.99 : 1,237.37 = 393.45 : x
  2. Step 2: Convert to fraction form
    825.99/1,237.37 = 393.45/x
  3. Step 3: Cross multiply
    825.99x = 1,237.37 × 393.45
  4. Step 4: Simplify right side
    825.99x = 486,841.26
  5. Step 5: Solve for x
    x = 486,841.26/825.99
  6. Step 6: Final answer
    x = 589.40

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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.