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Finding the Fourth Proportional to 1,241.26, 1,712.94 and 776.14

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Solution

The fourth proportional to 1,241.26, 1,712.94 and 776.14 is: 1,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.26 : 1,712.94 = 776.14 : x
  2. Step 2: Convert to fraction form
    1,241.26/1,712.94 = 776.14/x
  3. Step 3: Cross multiply
    1,241.26x = 1,712.94 × 776.14
  4. Step 4: Simplify right side
    1,241.26x = 1,329,481.25
  5. Step 5: Solve for x
    x = 1,329,481.25/1,241.26
  6. Step 6: Final answer
    x = 1,071.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.