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Finding the Fourth Proportional to 826.23, 1,139.01 and 629.40

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Solution

The fourth proportional to 826.23, 1,139.01 and 629.40 is: 867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.23 : 1,139.01 = 629.40 : x
  2. Step 2: Convert to fraction form
    826.23/1,139.01 = 629.40/x
  3. Step 3: Cross multiply
    826.23x = 1,139.01 × 629.40
  4. Step 4: Simplify right side
    826.23x = 716,898.35
  5. Step 5: Solve for x
    x = 716,898.35/826.23
  6. Step 6: Final answer
    x = 867.67

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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.