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Finding the Fourth Proportional to 981.37, 1,472.26 and 433.54

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Solution

The fourth proportional to 981.37, 1,472.26 and 433.54 is: 650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.37 : 1,472.26 = 433.54 : x
  2. Step 2: Convert to fraction form
    981.37/1,472.26 = 433.54/x
  3. Step 3: Cross multiply
    981.37x = 1,472.26 × 433.54
  4. Step 4: Simplify right side
    981.37x = 638,283.60
  5. Step 5: Solve for x
    x = 638,283.60/981.37
  6. Step 6: Final answer
    x = 650.40

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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.