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Finding the Fourth Proportional to 826.05, 1,237.11 and 478.67

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Solution

The fourth proportional to 826.05, 1,237.11 and 478.67 is: 716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.05 : 1,237.11 = 478.67 : x
  2. Step 2: Convert to fraction form
    826.05/1,237.11 = 478.67/x
  3. Step 3: Cross multiply
    826.05x = 1,237.11 × 478.67
  4. Step 4: Simplify right side
    826.05x = 592,161.26
  5. Step 5: Solve for x
    x = 592,161.26/826.05
  6. Step 6: Final answer
    x = 716.86

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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.