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Finding the Fourth Proportional to 1,602.27, 2,401.99 and 768.88

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Solution

The fourth proportional to 1,602.27, 2,401.99 and 768.88 is: 1,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.27 : 2,401.99 = 768.88 : x
  2. Step 2: Convert to fraction form
    1,602.27/2,401.99 = 768.88/x
  3. Step 3: Cross multiply
    1,602.27x = 2,401.99 × 768.88
  4. Step 4: Simplify right side
    1,602.27x = 1,846,842.07
  5. Step 5: Solve for x
    x = 1,846,842.07/1,602.27
  6. Step 6: Final answer
    x = 1,152.64

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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.