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Finding the Fourth Proportional to 655.67, 983.73 and 411.91

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Solution

The fourth proportional to 655.67, 983.73 and 411.91 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.67 : 983.73 = 411.91 : x
  2. Step 2: Convert to fraction form
    655.67/983.73 = 411.91/x
  3. Step 3: Cross multiply
    655.67x = 983.73 × 411.91
  4. Step 4: Simplify right side
    655.67x = 405,208.22
  5. Step 5: Solve for x
    x = 405,208.22/655.67
  6. Step 6: Final answer
    x = 618.01

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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.