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Finding the Fourth Proportional to 1,600.76, 2,401.86 and 677

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Solution

The fourth proportional to 1,600.76, 2,401.86 and 677 is: 1,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.76 : 2,401.86 = 677 : x
  2. Step 2: Convert to fraction form
    1,600.76/2,401.86 = 677/x
  3. Step 3: Cross multiply
    1,600.76x = 2,401.86 × 677
  4. Step 4: Simplify right side
    1,600.76x = 1,626,059.22
  5. Step 5: Solve for x
    x = 1,626,059.22/1,600.76
  6. Step 6: Final answer
    x = 1,015.80

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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.