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Finding the Fourth Proportional to 683.14, 947.90 and 655.72

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Solution

The fourth proportional to 683.14, 947.90 and 655.72 is: 909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.14 : 947.90 = 655.72 : x
  2. Step 2: Convert to fraction form
    683.14/947.90 = 655.72/x
  3. Step 3: Cross multiply
    683.14x = 947.90 × 655.72
  4. Step 4: Simplify right side
    683.14x = 621,556.99
  5. Step 5: Solve for x
    x = 621,556.99/683.14
  6. Step 6: Final answer
    x = 909.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.