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Finding the Fourth Proportional to 686, 946.35 and 659.47

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Solution

The fourth proportional to 686, 946.35 and 659.47 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 946.35 = 659.47 : x
  2. Step 2: Convert to fraction form
    686/946.35 = 659.47/x
  3. Step 3: Cross multiply
    686x = 946.35 × 659.47
  4. Step 4: Simplify right side
    686x = 624,089.43
  5. Step 5: Solve for x
    x = 624,089.43/686
  6. Step 6: Final answer
    x = 909.75

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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.