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Finding the Fourth Proportional to 1,628.35, 2,442.27 and 458.44

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Solution

The fourth proportional to 1,628.35, 2,442.27 and 458.44 is: 687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.35 : 2,442.27 = 458.44 : x
  2. Step 2: Convert to fraction form
    1,628.35/2,442.27 = 458.44/x
  3. Step 3: Cross multiply
    1,628.35x = 2,442.27 × 458.44
  4. Step 4: Simplify right side
    1,628.35x = 1,119,634.26
  5. Step 5: Solve for x
    x = 1,119,634.26/1,628.35
  6. Step 6: Final answer
    x = 687.59

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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.