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Finding the Fourth Proportional to 1,289.13, 1,780.83 and 998.16

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Solution

The fourth proportional to 1,289.13, 1,780.83 and 998.16 is: 1,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.13 : 1,780.83 = 998.16 : x
  2. Step 2: Convert to fraction form
    1,289.13/1,780.83 = 998.16/x
  3. Step 3: Cross multiply
    1,289.13x = 1,780.83 × 998.16
  4. Step 4: Simplify right side
    1,289.13x = 1,777,553.27
  5. Step 5: Solve for x
    x = 1,777,553.27/1,289.13
  6. Step 6: Final answer
    x = 1,378.88

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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.