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Finding the Fourth Proportional to 1,324.75, 1,986.64 and 593.95

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Solution

The fourth proportional to 1,324.75, 1,986.64 and 593.95 is: 890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.75 : 1,986.64 = 593.95 : x
  2. Step 2: Convert to fraction form
    1,324.75/1,986.64 = 593.95/x
  3. Step 3: Cross multiply
    1,324.75x = 1,986.64 × 593.95
  4. Step 4: Simplify right side
    1,324.75x = 1,179,964.83
  5. Step 5: Solve for x
    x = 1,179,964.83/1,324.75
  6. Step 6: Final answer
    x = 890.71

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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.