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Finding the Fourth Proportional to 706.60, 977.70 and 614.80

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Solution

The fourth proportional to 706.60, 977.70 and 614.80 is: 850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 977.70 = 614.80 : x
  2. Step 2: Convert to fraction form
    706.60/977.70 = 614.80/x
  3. Step 3: Cross multiply
    706.60x = 977.70 × 614.80
  4. Step 4: Simplify right side
    706.60x = 601,089.96
  5. Step 5: Solve for x
    x = 601,089.96/706.60
  6. Step 6: Final answer
    x = 850.68

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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.