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Finding the Fourth Proportional to 1,584.29, 2,376.74 and 659.35

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Solution

The fourth proportional to 1,584.29, 2,376.74 and 659.35 is: 989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.29 : 2,376.74 = 659.35 : x
  2. Step 2: Convert to fraction form
    1,584.29/2,376.74 = 659.35/x
  3. Step 3: Cross multiply
    1,584.29x = 2,376.74 × 659.35
  4. Step 4: Simplify right side
    1,584.29x = 1,567,103.52
  5. Step 5: Solve for x
    x = 1,567,103.52/1,584.29
  6. Step 6: Final answer
    x = 989.15

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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.