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Finding the Fourth Proportional to 661.88, 991.50 and 505.85

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Solution

The fourth proportional to 661.88, 991.50 and 505.85 is: 757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 991.50 = 505.85 : x
  2. Step 2: Convert to fraction form
    661.88/991.50 = 505.85/x
  3. Step 3: Cross multiply
    661.88x = 991.50 × 505.85
  4. Step 4: Simplify right side
    661.88x = 501,545.32
  5. Step 5: Solve for x
    x = 501,545.32/661.88
  6. Step 6: Final answer
    x = 757.76

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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.