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Finding the Fourth Proportional to 826.74, 1,141.29 and 477.36

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Solution

The fourth proportional to 826.74, 1,141.29 and 477.36 is: 658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.74 : 1,141.29 = 477.36 : x
  2. Step 2: Convert to fraction form
    826.74/1,141.29 = 477.36/x
  3. Step 3: Cross multiply
    826.74x = 1,141.29 × 477.36
  4. Step 4: Simplify right side
    826.74x = 544,806.19
  5. Step 5: Solve for x
    x = 544,806.19/826.74
  6. Step 6: Final answer
    x = 658.98

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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.