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Finding the Fourth Proportional to 617.83, 926.06 and 496.18

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Solution

The fourth proportional to 617.83, 926.06 and 496.18 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.83 : 926.06 = 496.18 : x
  2. Step 2: Convert to fraction form
    617.83/926.06 = 496.18/x
  3. Step 3: Cross multiply
    617.83x = 926.06 × 496.18
  4. Step 4: Simplify right side
    617.83x = 459,487.31
  5. Step 5: Solve for x
    x = 459,487.31/617.83
  6. Step 6: Final answer
    x = 743.71

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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.