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Finding the Fourth Proportional to 1,072.54, 1,608.84 and 455.39

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Solution

The fourth proportional to 1,072.54, 1,608.84 and 455.39 is: 683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.54 : 1,608.84 = 455.39 : x
  2. Step 2: Convert to fraction form
    1,072.54/1,608.84 = 455.39/x
  3. Step 3: Cross multiply
    1,072.54x = 1,608.84 × 455.39
  4. Step 4: Simplify right side
    1,072.54x = 732,641.60
  5. Step 5: Solve for x
    x = 732,641.60/1,072.54
  6. Step 6: Final answer
    x = 683.09

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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.