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Finding the Fourth Proportional to 945.86, 1,305.27 and 552.80

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Solution

The fourth proportional to 945.86, 1,305.27 and 552.80 is: 762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.86 : 1,305.27 = 552.80 : x
  2. Step 2: Convert to fraction form
    945.86/1,305.27 = 552.80/x
  3. Step 3: Cross multiply
    945.86x = 1,305.27 × 552.80
  4. Step 4: Simplify right side
    945.86x = 721,556.52
  5. Step 5: Solve for x
    x = 721,556.52/945.86
  6. Step 6: Final answer
    x = 762.86

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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.