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Finding the Fourth Proportional to 826.74, 1,239.30 and 340.13

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Solution

The fourth proportional to 826.74, 1,239.30 and 340.13 is: 509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.74 : 1,239.30 = 340.13 : x
  2. Step 2: Convert to fraction form
    826.74/1,239.30 = 340.13/x
  3. Step 3: Cross multiply
    826.74x = 1,239.30 × 340.13
  4. Step 4: Simplify right side
    826.74x = 421,526.21
  5. Step 5: Solve for x
    x = 421,526.21/826.74
  6. Step 6: Final answer
    x = 509.87

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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.