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Finding the Fourth Proportional to 1,774.41, 2,657.57 and 850.63

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Solution

The fourth proportional to 1,774.41, 2,657.57 and 850.63 is: 1,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.41 : 2,657.57 = 850.63 : x
  2. Step 2: Convert to fraction form
    1,774.41/2,657.57 = 850.63/x
  3. Step 3: Cross multiply
    1,774.41x = 2,657.57 × 850.63
  4. Step 4: Simplify right side
    1,774.41x = 2,260,597.77
  5. Step 5: Solve for x
    x = 2,260,597.77/1,774.41
  6. Step 6: Final answer
    x = 1,274.00

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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.