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Finding the Fourth Proportional to 1,591.99, 2,389.44 and 812.55

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Solution

The fourth proportional to 1,591.99, 2,389.44 and 812.55 is: 1,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.99 : 2,389.44 = 812.55 : x
  2. Step 2: Convert to fraction form
    1,591.99/2,389.44 = 812.55/x
  3. Step 3: Cross multiply
    1,591.99x = 2,389.44 × 812.55
  4. Step 4: Simplify right side
    1,591.99x = 1,941,527.46
  5. Step 5: Solve for x
    x = 1,941,527.46/1,591.99
  6. Step 6: Final answer
    x = 1,219.56

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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.