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Finding the Fourth Proportional to 667.62, 919.86 and 498.87

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Solution

The fourth proportional to 667.62, 919.86 and 498.87 is: 687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.62 : 919.86 = 498.87 : x
  2. Step 2: Convert to fraction form
    667.62/919.86 = 498.87/x
  3. Step 3: Cross multiply
    667.62x = 919.86 × 498.87
  4. Step 4: Simplify right side
    667.62x = 458,890.56
  5. Step 5: Solve for x
    x = 458,890.56/667.62
  6. Step 6: Final answer
    x = 687.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.