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Finding the Fourth Proportional to 827.11, 1,141.44 and 477.77

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Solution

The fourth proportional to 827.11, 1,141.44 and 477.77 is: 659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.11 : 1,141.44 = 477.77 : x
  2. Step 2: Convert to fraction form
    827.11/1,141.44 = 477.77/x
  3. Step 3: Cross multiply
    827.11x = 1,141.44 × 477.77
  4. Step 4: Simplify right side
    827.11x = 545,345.79
  5. Step 5: Solve for x
    x = 545,345.79/827.11
  6. Step 6: Final answer
    x = 659.34

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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.