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Finding the Fourth Proportional to 981.98, 1,473.48 and 434.54

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Solution

The fourth proportional to 981.98, 1,473.48 and 434.54 is: 652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.98 : 1,473.48 = 434.54 : x
  2. Step 2: Convert to fraction form
    981.98/1,473.48 = 434.54/x
  3. Step 3: Cross multiply
    981.98x = 1,473.48 × 434.54
  4. Step 4: Simplify right side
    981.98x = 640,286.00
  5. Step 5: Solve for x
    x = 640,286.00/981.98
  6. Step 6: Final answer
    x = 652.04

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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.