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Finding the Fourth Proportional to 1,305.35, 1,958.03 and 439.66

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Solution

The fourth proportional to 1,305.35, 1,958.03 and 439.66 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.35 : 1,958.03 = 439.66 : x
  2. Step 2: Convert to fraction form
    1,305.35/1,958.03 = 439.66/x
  3. Step 3: Cross multiply
    1,305.35x = 1,958.03 × 439.66
  4. Step 4: Simplify right side
    1,305.35x = 860,867.47
  5. Step 5: Solve for x
    x = 860,867.47/1,305.35
  6. Step 6: Final answer
    x = 659.49

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Half scale
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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.