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Finding the Fourth Proportional to 1,602.33, 2,404.19 and 628.09

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Solution

The fourth proportional to 1,602.33, 2,404.19 and 628.09 is: 942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.33 : 2,404.19 = 628.09 : x
  2. Step 2: Convert to fraction form
    1,602.33/2,404.19 = 628.09/x
  3. Step 3: Cross multiply
    1,602.33x = 2,404.19 × 628.09
  4. Step 4: Simplify right side
    1,602.33x = 1,510,047.70
  5. Step 5: Solve for x
    x = 1,510,047.70/1,602.33
  6. Step 6: Final answer
    x = 942.41

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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.