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Finding the Fourth Proportional to 1,218.54, 1,829.46 and 698.88

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Solution

The fourth proportional to 1,218.54, 1,829.46 and 698.88 is: 1,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.54 : 1,829.46 = 698.88 : x
  2. Step 2: Convert to fraction form
    1,218.54/1,829.46 = 698.88/x
  3. Step 3: Cross multiply
    1,218.54x = 1,829.46 × 698.88
  4. Step 4: Simplify right side
    1,218.54x = 1,278,573.00
  5. Step 5: Solve for x
    x = 1,278,573.00/1,218.54
  6. Step 6: Final answer
    x = 1,049.27

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1.5x scale

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.