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Finding the Fourth Proportional to 828.29, 1,141.05 and 709.89

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Solution

The fourth proportional to 828.29, 1,141.05 and 709.89 is: 977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.29 : 1,141.05 = 709.89 : x
  2. Step 2: Convert to fraction form
    828.29/1,141.05 = 709.89/x
  3. Step 3: Cross multiply
    828.29x = 1,141.05 × 709.89
  4. Step 4: Simplify right side
    828.29x = 810,014.37
  5. Step 5: Solve for x
    x = 810,014.37/828.29
  6. Step 6: Final answer
    x = 977.94

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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.