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Finding the Fourth Proportional to 826.49, 1,238.99 and 415.76

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Solution

The fourth proportional to 826.49, 1,238.99 and 415.76 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.49 : 1,238.99 = 415.76 : x
  2. Step 2: Convert to fraction form
    826.49/1,238.99 = 415.76/x
  3. Step 3: Cross multiply
    826.49x = 1,238.99 × 415.76
  4. Step 4: Simplify right side
    826.49x = 515,114.21
  5. Step 5: Solve for x
    x = 515,114.21/826.49
  6. Step 6: Final answer
    x = 623.26

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1.5x scale

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.