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Finding the Fourth Proportional to 981.41, 1,471.59 and 433.34

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Solution

The fourth proportional to 981.41, 1,471.59 and 433.34 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.41 : 1,471.59 = 433.34 : x
  2. Step 2: Convert to fraction form
    981.41/1,471.59 = 433.34/x
  3. Step 3: Cross multiply
    981.41x = 1,471.59 × 433.34
  4. Step 4: Simplify right side
    981.41x = 637,691.45
  5. Step 5: Solve for x
    x = 637,691.45/981.41
  6. Step 6: Final answer
    x = 649.77

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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.