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Finding the Fourth Proportional to 826.24, 1,239.62 and 339.34

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Solution

The fourth proportional to 826.24, 1,239.62 and 339.34 is: 509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.24 : 1,239.62 = 339.34 : x
  2. Step 2: Convert to fraction form
    826.24/1,239.62 = 339.34/x
  3. Step 3: Cross multiply
    826.24x = 1,239.62 × 339.34
  4. Step 4: Simplify right side
    826.24x = 420,652.65
  5. Step 5: Solve for x
    x = 420,652.65/826.24
  6. Step 6: Final answer
    x = 509.12

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Double scale
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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.