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Finding the Fourth Proportional to 1,241.75, 1,858.67 and 780.05

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Solution

The fourth proportional to 1,241.75, 1,858.67 and 780.05 is: 1,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.75 : 1,858.67 = 780.05 : x
  2. Step 2: Convert to fraction form
    1,241.75/1,858.67 = 780.05/x
  3. Step 3: Cross multiply
    1,241.75x = 1,858.67 × 780.05
  4. Step 4: Simplify right side
    1,241.75x = 1,449,842.34
  5. Step 5: Solve for x
    x = 1,449,842.34/1,241.75
  6. Step 6: Final answer
    x = 1,167.58

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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.