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Finding the Fourth Proportional to 845.82, 1,167.09 and 777.77

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Solution

The fourth proportional to 845.82, 1,167.09 and 777.77 is: 1,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.82 : 1,167.09 = 777.77 : x
  2. Step 2: Convert to fraction form
    845.82/1,167.09 = 777.77/x
  3. Step 3: Cross multiply
    845.82x = 1,167.09 × 777.77
  4. Step 4: Simplify right side
    845.82x = 907,726.63
  5. Step 5: Solve for x
    x = 907,726.63/845.82
  6. Step 6: Final answer
    x = 1,073.20

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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.