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Finding the Fourth Proportional to 1,784.75, 2,462.99 and 998.73

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Solution

The fourth proportional to 1,784.75, 2,462.99 and 998.73 is: 1,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.75 : 2,462.99 = 998.73 : x
  2. Step 2: Convert to fraction form
    1,784.75/2,462.99 = 998.73/x
  3. Step 3: Cross multiply
    1,784.75x = 2,462.99 × 998.73
  4. Step 4: Simplify right side
    1,784.75x = 2,459,857.01
  5. Step 5: Solve for x
    x = 2,459,857.01/1,784.75
  6. Step 6: Final answer
    x = 1,378.27

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1.5x scale

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.