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Finding the Fourth Proportional to 1,756, 2,634.45 and 601.75

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Solution

The fourth proportional to 1,756, 2,634.45 and 601.75 is: 902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756 : 2,634.45 = 601.75 : x
  2. Step 2: Convert to fraction form
    1,756/2,634.45 = 601.75/x
  3. Step 3: Cross multiply
    1,756x = 2,634.45 × 601.75
  4. Step 4: Simplify right side
    1,756x = 1,585,280.29
  5. Step 5: Solve for x
    x = 1,585,280.29/1,756
  6. Step 6: Final answer
    x = 902.78

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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.