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Finding the Fourth Proportional to 839.47, 1,259.20 and 326.47

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Solution

The fourth proportional to 839.47, 1,259.20 and 326.47 is: 489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.47 : 1,259.20 = 326.47 : x
  2. Step 2: Convert to fraction form
    839.47/1,259.20 = 326.47/x
  3. Step 3: Cross multiply
    839.47x = 1,259.20 × 326.47
  4. Step 4: Simplify right side
    839.47x = 411,093.01
  5. Step 5: Solve for x
    x = 411,093.01/839.47
  6. Step 6: Final answer
    x = 489.70

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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.