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Finding the Fourth Proportional to 1,335.67, 1,843.63 and 776.23

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Solution

The fourth proportional to 1,335.67, 1,843.63 and 776.23 is: 1,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.67 : 1,843.63 = 776.23 : x
  2. Step 2: Convert to fraction form
    1,335.67/1,843.63 = 776.23/x
  3. Step 3: Cross multiply
    1,335.67x = 1,843.63 × 776.23
  4. Step 4: Simplify right side
    1,335.67x = 1,431,074.37
  5. Step 5: Solve for x
    x = 1,431,074.37/1,335.67
  6. Step 6: Final answer
    x = 1,071.43

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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.