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Finding the Fourth Proportional to 826.29, 1,230.82 and 782.46

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Solution

The fourth proportional to 826.29, 1,230.82 and 782.46 is: 1,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.29 : 1,230.82 = 782.46 : x
  2. Step 2: Convert to fraction form
    826.29/1,230.82 = 782.46/x
  3. Step 3: Cross multiply
    826.29x = 1,230.82 × 782.46
  4. Step 4: Simplify right side
    826.29x = 963,063.50
  5. Step 5: Solve for x
    x = 963,063.50/826.29
  6. Step 6: Final answer
    x = 1,165.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.