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Finding the Fourth Proportional to 894.83, 1,227.51 and 857.03

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Solution

The fourth proportional to 894.83, 1,227.51 and 857.03 is: 1,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.83 : 1,227.51 = 857.03 : x
  2. Step 2: Convert to fraction form
    894.83/1,227.51 = 857.03/x
  3. Step 3: Cross multiply
    894.83x = 1,227.51 × 857.03
  4. Step 4: Simplify right side
    894.83x = 1,052,006.76
  5. Step 5: Solve for x
    x = 1,052,006.76/894.83
  6. Step 6: Final answer
    x = 1,175.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.