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Finding the Fourth Proportional to 827.48, 1,142.16 and 547.76

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Solution

The fourth proportional to 827.48, 1,142.16 and 547.76 is: 756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.48 : 1,142.16 = 547.76 : x
  2. Step 2: Convert to fraction form
    827.48/1,142.16 = 547.76/x
  3. Step 3: Cross multiply
    827.48x = 1,142.16 × 547.76
  4. Step 4: Simplify right side
    827.48x = 625,629.56
  5. Step 5: Solve for x
    x = 625,629.56/827.48
  6. Step 6: Final answer
    x = 756.07

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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.