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Finding the Fourth Proportional to 826.05, 1,237.84 and 460.33

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Solution

The fourth proportional to 826.05, 1,237.84 and 460.33 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.05 : 1,237.84 = 460.33 : x
  2. Step 2: Convert to fraction form
    826.05/1,237.84 = 460.33/x
  3. Step 3: Cross multiply
    826.05x = 1,237.84 × 460.33
  4. Step 4: Simplify right side
    826.05x = 569,814.89
  5. Step 5: Solve for x
    x = 569,814.89/826.05
  6. Step 6: Final answer
    x = 689.81

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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.