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Finding the Fourth Proportional to 826.76, 1,240.14 and 313.76

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Solution

The fourth proportional to 826.76, 1,240.14 and 313.76 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.76 : 1,240.14 = 313.76 : x
  2. Step 2: Convert to fraction form
    826.76/1,240.14 = 313.76/x
  3. Step 3: Cross multiply
    826.76x = 1,240.14 × 313.76
  4. Step 4: Simplify right side
    826.76x = 389,106.33
  5. Step 5: Solve for x
    x = 389,106.33/826.76
  6. Step 6: Final answer
    x = 470.64

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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.