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Finding the Fourth Proportional to 826.83, 1,240.25 and 339.35

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Solution

The fourth proportional to 826.83, 1,240.25 and 339.35 is: 509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.83 : 1,240.25 = 339.35 : x
  2. Step 2: Convert to fraction form
    826.83/1,240.25 = 339.35/x
  3. Step 3: Cross multiply
    826.83x = 1,240.25 × 339.35
  4. Step 4: Simplify right side
    826.83x = 420,870.94
  5. Step 5: Solve for x
    x = 420,870.94/826.83
  6. Step 6: Final answer
    x = 509.02

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Double scale
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Similar ratio
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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.