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Finding the Fourth Proportional to 982.70, 1,473.60 and 434.60

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Solution

The fourth proportional to 982.70, 1,473.60 and 434.60 is: 651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.70 : 1,473.60 = 434.60 : x
  2. Step 2: Convert to fraction form
    982.70/1,473.60 = 434.60/x
  3. Step 3: Cross multiply
    982.70x = 1,473.60 × 434.60
  4. Step 4: Simplify right side
    982.70x = 640,426.56
  5. Step 5: Solve for x
    x = 640,426.56/982.70
  6. Step 6: Final answer
    x = 651.70

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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.