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Finding the Fourth Proportional to 659.74, 989.60 and 172.78

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Solution

The fourth proportional to 659.74, 989.60 and 172.78 is: 259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.74 : 989.60 = 172.78 : x
  2. Step 2: Convert to fraction form
    659.74/989.60 = 172.78/x
  3. Step 3: Cross multiply
    659.74x = 989.60 × 172.78
  4. Step 4: Simplify right side
    659.74x = 170,983.09
  5. Step 5: Solve for x
    x = 170,983.09/659.74
  6. Step 6: Final answer
    x = 259.17

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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.