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Finding the Fourth Proportional to 1,602.11, 2,401.74 and 628.89

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Solution

The fourth proportional to 1,602.11, 2,401.74 and 628.89 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.11 : 2,401.74 = 628.89 : x
  2. Step 2: Convert to fraction form
    1,602.11/2,401.74 = 628.89/x
  3. Step 3: Cross multiply
    1,602.11x = 2,401.74 × 628.89
  4. Step 4: Simplify right side
    1,602.11x = 1,510,430.27
  5. Step 5: Solve for x
    x = 1,510,430.27/1,602.11
  6. Step 6: Final answer
    x = 942.78

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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.