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Finding the Fourth Proportional to 1,442.73, 2,164.14 and 455.55

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Solution

The fourth proportional to 1,442.73, 2,164.14 and 455.55 is: 683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.73 : 2,164.14 = 455.55 : x
  2. Step 2: Convert to fraction form
    1,442.73/2,164.14 = 455.55/x
  3. Step 3: Cross multiply
    1,442.73x = 2,164.14 × 455.55
  4. Step 4: Simplify right side
    1,442.73x = 985,871.70
  5. Step 5: Solve for x
    x = 985,871.70/1,442.73
  6. Step 6: Final answer
    x = 683.34

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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.