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Finding the Fourth Proportional to 1,653.58, 2,480.97 and 679.76

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Solution

The fourth proportional to 1,653.58, 2,480.97 and 679.76 is: 1,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.58 : 2,480.97 = 679.76 : x
  2. Step 2: Convert to fraction form
    1,653.58/2,480.97 = 679.76/x
  3. Step 3: Cross multiply
    1,653.58x = 2,480.97 × 679.76
  4. Step 4: Simplify right side
    1,653.58x = 1,686,451.76
  5. Step 5: Solve for x
    x = 1,686,451.76/1,653.58
  6. Step 6: Final answer
    x = 1,019.88

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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.