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Finding the Fourth Proportional to 1,584.07, 2,375.86 and 414.09

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Solution

The fourth proportional to 1,584.07, 2,375.86 and 414.09 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.07 : 2,375.86 = 414.09 : x
  2. Step 2: Convert to fraction form
    1,584.07/2,375.86 = 414.09/x
  3. Step 3: Cross multiply
    1,584.07x = 2,375.86 × 414.09
  4. Step 4: Simplify right side
    1,584.07x = 983,819.87
  5. Step 5: Solve for x
    x = 983,819.87/1,584.07
  6. Step 6: Final answer
    x = 621.07

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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.