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Finding the Fourth Proportional to 826.84, 1,141.03 and 453.83

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Solution

The fourth proportional to 826.84, 1,141.03 and 453.83 is: 626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,141.03 = 453.83 : x
  2. Step 2: Convert to fraction form
    826.84/1,141.03 = 453.83/x
  3. Step 3: Cross multiply
    826.84x = 1,141.03 × 453.83
  4. Step 4: Simplify right side
    826.84x = 517,827.94
  5. Step 5: Solve for x
    x = 517,827.94/826.84
  6. Step 6: Final answer
    x = 626.28

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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.