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Finding the Fourth Proportional to 826.94, 1,141.22 and 472.92

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Solution

The fourth proportional to 826.94, 1,141.22 and 472.92 is: 652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,141.22 = 472.92 : x
  2. Step 2: Convert to fraction form
    826.94/1,141.22 = 472.92/x
  3. Step 3: Cross multiply
    826.94x = 1,141.22 × 472.92
  4. Step 4: Simplify right side
    826.94x = 539,703.40
  5. Step 5: Solve for x
    x = 539,703.40/826.94
  6. Step 6: Final answer
    x = 652.66

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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.