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Finding the Fourth Proportional to 981.14, 1,471.55 and 323.03

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Solution

The fourth proportional to 981.14, 1,471.55 and 323.03 is: 484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.14 : 1,471.55 = 323.03 : x
  2. Step 2: Convert to fraction form
    981.14/1,471.55 = 323.03/x
  3. Step 3: Cross multiply
    981.14x = 1,471.55 × 323.03
  4. Step 4: Simplify right side
    981.14x = 475,350.40
  5. Step 5: Solve for x
    x = 475,350.40/981.14
  6. Step 6: Final answer
    x = 484.49

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Half scale
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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.