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Finding the Fourth Proportional to 827.51, 1,241.45 and 365.13

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Solution

The fourth proportional to 827.51, 1,241.45 and 365.13 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.51 : 1,241.45 = 365.13 : x
  2. Step 2: Convert to fraction form
    827.51/1,241.45 = 365.13/x
  3. Step 3: Cross multiply
    827.51x = 1,241.45 × 365.13
  4. Step 4: Simplify right side
    827.51x = 453,288.81
  5. Step 5: Solve for x
    x = 453,288.81/827.51
  6. Step 6: Final answer
    x = 547.78

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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.