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Finding the Fourth Proportional to 982.38, 1,473.68 and 434.42

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Solution

The fourth proportional to 982.38, 1,473.68 and 434.42 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 1,473.68 = 434.42 : x
  2. Step 2: Convert to fraction form
    982.38/1,473.68 = 434.42/x
  3. Step 3: Cross multiply
    982.38x = 1,473.68 × 434.42
  4. Step 4: Simplify right side
    982.38x = 640,196.07
  5. Step 5: Solve for x
    x = 640,196.07/982.38
  6. Step 6: Final answer
    x = 651.68

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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.