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Finding the Fourth Proportional to 1,584.02, 2,375.96 and 488.49

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Solution

The fourth proportional to 1,584.02, 2,375.96 and 488.49 is: 732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.02 : 2,375.96 = 488.49 : x
  2. Step 2: Convert to fraction form
    1,584.02/2,375.96 = 488.49/x
  3. Step 3: Cross multiply
    1,584.02x = 2,375.96 × 488.49
  4. Step 4: Simplify right side
    1,584.02x = 1,160,630.26
  5. Step 5: Solve for x
    x = 1,160,630.26/1,584.02
  6. Step 6: Final answer
    x = 732.71

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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.