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Finding the Fourth Proportional to 1,462.99, 2,019 and 833.71

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Solution

The fourth proportional to 1,462.99, 2,019 and 833.71 is: 1,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.99 : 2,019 = 833.71 : x
  2. Step 2: Convert to fraction form
    1,462.99/2,019 = 833.71/x
  3. Step 3: Cross multiply
    1,462.99x = 2,019 × 833.71
  4. Step 4: Simplify right side
    1,462.99x = 1,683,260.49
  5. Step 5: Solve for x
    x = 1,683,260.49/1,462.99
  6. Step 6: Final answer
    x = 1,150.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.