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Finding the Fourth Proportional to 826.34, 1,237.88 and 548.51

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Solution

The fourth proportional to 826.34, 1,237.88 and 548.51 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.34 : 1,237.88 = 548.51 : x
  2. Step 2: Convert to fraction form
    826.34/1,237.88 = 548.51/x
  3. Step 3: Cross multiply
    826.34x = 1,237.88 × 548.51
  4. Step 4: Simplify right side
    826.34x = 678,989.56
  5. Step 5: Solve for x
    x = 678,989.56/826.34
  6. Step 6: Final answer
    x = 821.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.