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Finding the Fourth Proportional to 1,662.84, 2,494.25 and 785.05

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Solution

The fourth proportional to 1,662.84, 2,494.25 and 785.05 is: 1,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.84 : 2,494.25 = 785.05 : x
  2. Step 2: Convert to fraction form
    1,662.84/2,494.25 = 785.05/x
  3. Step 3: Cross multiply
    1,662.84x = 2,494.25 × 785.05
  4. Step 4: Simplify right side
    1,662.84x = 1,958,110.96
  5. Step 5: Solve for x
    x = 1,958,110.96/1,662.84
  6. Step 6: Final answer
    x = 1,177.57

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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.