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Finding the Fourth Proportional to 659.92, 989.90 and 506.13

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Solution

The fourth proportional to 659.92, 989.90 and 506.13 is: 759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.92 : 989.90 = 506.13 : x
  2. Step 2: Convert to fraction form
    659.92/989.90 = 506.13/x
  3. Step 3: Cross multiply
    659.92x = 989.90 × 506.13
  4. Step 4: Simplify right side
    659.92x = 501,018.09
  5. Step 5: Solve for x
    x = 501,018.09/659.92
  6. Step 6: Final answer
    x = 759.21

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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.