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Finding the Fourth Proportional to 905.88, 1,249.02 and 765.75

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Solution

The fourth proportional to 905.88, 1,249.02 and 765.75 is: 1,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.88 : 1,249.02 = 765.75 : x
  2. Step 2: Convert to fraction form
    905.88/1,249.02 = 765.75/x
  3. Step 3: Cross multiply
    905.88x = 1,249.02 × 765.75
  4. Step 4: Simplify right side
    905.88x = 956,437.07
  5. Step 5: Solve for x
    x = 956,437.07/905.88
  6. Step 6: Final answer
    x = 1,055.81

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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.