Home / 1,584.28-2,376.12-659.80

Finding the Fourth Proportional to 1,584.28, 2,376.12 and 659.80

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Solution

The fourth proportional to 1,584.28, 2,376.12 and 659.80 is: 989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.28 : 2,376.12 = 659.80 : x
  2. Step 2: Convert to fraction form
    1,584.28/2,376.12 = 659.80/x
  3. Step 3: Cross multiply
    1,584.28x = 2,376.12 × 659.80
  4. Step 4: Simplify right side
    1,584.28x = 1,567,763.98
  5. Step 5: Solve for x
    x = 1,567,763.98/1,584.28
  6. Step 6: Final answer
    x = 989.58

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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.