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Finding the Fourth Proportional to 1,602.07, 2,401.73 and 627.94

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Solution

The fourth proportional to 1,602.07, 2,401.73 and 627.94 is: 941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.07 : 2,401.73 = 627.94 : x
  2. Step 2: Convert to fraction form
    1,602.07/2,401.73 = 627.94/x
  3. Step 3: Cross multiply
    1,602.07x = 2,401.73 × 627.94
  4. Step 4: Simplify right side
    1,602.07x = 1,508,142.34
  5. Step 5: Solve for x
    x = 1,508,142.34/1,602.07
  6. Step 6: Final answer
    x = 941.37

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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.