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Finding the Fourth Proportional to 815.96, 1,125.78 and 712.10

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Solution

The fourth proportional to 815.96, 1,125.78 and 712.10 is: 982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.96 : 1,125.78 = 712.10 : x
  2. Step 2: Convert to fraction form
    815.96/1,125.78 = 712.10/x
  3. Step 3: Cross multiply
    815.96x = 1,125.78 × 712.10
  4. Step 4: Simplify right side
    815.96x = 801,667.94
  5. Step 5: Solve for x
    x = 801,667.94/815.96
  6. Step 6: Final answer
    x = 982.48

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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.