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Finding the Fourth Proportional to 827.30, 1,241.41 and 785.08

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Solution

The fourth proportional to 827.30, 1,241.41 and 785.08 is: 1,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.30 : 1,241.41 = 785.08 : x
  2. Step 2: Convert to fraction form
    827.30/1,241.41 = 785.08/x
  3. Step 3: Cross multiply
    827.30x = 1,241.41 × 785.08
  4. Step 4: Simplify right side
    827.30x = 974,606.16
  5. Step 5: Solve for x
    x = 974,606.16/827.30
  6. Step 6: Final answer
    x = 1,178.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.