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Finding the Fourth Proportional to 654.93, 982.62 and 411.17

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Solution

The fourth proportional to 654.93, 982.62 and 411.17 is: 616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 982.62 = 411.17 : x
  2. Step 2: Convert to fraction form
    654.93/982.62 = 411.17/x
  3. Step 3: Cross multiply
    654.93x = 982.62 × 411.17
  4. Step 4: Simplify right side
    654.93x = 404,018.95
  5. Step 5: Solve for x
    x = 404,018.95/654.93
  6. Step 6: Final answer
    x = 616.89

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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.