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Finding the Fourth Proportional to 1,774.84, 2,662.74 and 620.60

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Solution

The fourth proportional to 1,774.84, 2,662.74 and 620.60 is: 931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.84 : 2,662.74 = 620.60 : x
  2. Step 2: Convert to fraction form
    1,774.84/2,662.74 = 620.60/x
  3. Step 3: Cross multiply
    1,774.84x = 2,662.74 × 620.60
  4. Step 4: Simplify right side
    1,774.84x = 1,652,496.44
  5. Step 5: Solve for x
    x = 1,652,496.44/1,774.84
  6. Step 6: Final answer
    x = 931.07

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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.