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Finding the Fourth Proportional to 981.63, 1,471.11 and 433.21

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Solution

The fourth proportional to 981.63, 1,471.11 and 433.21 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.63 : 1,471.11 = 433.21 : x
  2. Step 2: Convert to fraction form
    981.63/1,471.11 = 433.21/x
  3. Step 3: Cross multiply
    981.63x = 1,471.11 × 433.21
  4. Step 4: Simplify right side
    981.63x = 637,299.56
  5. Step 5: Solve for x
    x = 637,299.56/981.63
  6. Step 6: Final answer
    x = 649.23

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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.