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Finding the Fourth Proportional to 1,584.27, 2,375.55 and 488.43

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Solution

The fourth proportional to 1,584.27, 2,375.55 and 488.43 is: 732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.27 : 2,375.55 = 488.43 : x
  2. Step 2: Convert to fraction form
    1,584.27/2,375.55 = 488.43/x
  3. Step 3: Cross multiply
    1,584.27x = 2,375.55 × 488.43
  4. Step 4: Simplify right side
    1,584.27x = 1,160,289.89
  5. Step 5: Solve for x
    x = 1,160,289.89/1,584.27
  6. Step 6: Final answer
    x = 732.38

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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.