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Finding the Fourth Proportional to 982.18, 1,472.66 and 418.64

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Solution

The fourth proportional to 982.18, 1,472.66 and 418.64 is: 627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.18 : 1,472.66 = 418.64 : x
  2. Step 2: Convert to fraction form
    982.18/1,472.66 = 418.64/x
  3. Step 3: Cross multiply
    982.18x = 1,472.66 × 418.64
  4. Step 4: Simplify right side
    982.18x = 616,512.29
  5. Step 5: Solve for x
    x = 616,512.29/982.18
  6. Step 6: Final answer
    x = 627.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.