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Finding the Fourth Proportional to 1,335.89, 1,843.53 and 776.39

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Solution

The fourth proportional to 1,335.89, 1,843.53 and 776.39 is: 1,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.89 : 1,843.53 = 776.39 : x
  2. Step 2: Convert to fraction form
    1,335.89/1,843.53 = 776.39/x
  3. Step 3: Cross multiply
    1,335.89x = 1,843.53 × 776.39
  4. Step 4: Simplify right side
    1,335.89x = 1,431,286.13
  5. Step 5: Solve for x
    x = 1,431,286.13/1,335.89
  6. Step 6: Final answer
    x = 1,071.41

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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.