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Finding the Fourth Proportional to 677.37, 1,013.90 and 445.71

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Solution

The fourth proportional to 677.37, 1,013.90 and 445.71 is: 667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.37 : 1,013.90 = 445.71 : x
  2. Step 2: Convert to fraction form
    677.37/1,013.90 = 445.71/x
  3. Step 3: Cross multiply
    677.37x = 1,013.90 × 445.71
  4. Step 4: Simplify right side
    677.37x = 451,903.14
  5. Step 5: Solve for x
    x = 451,903.14/677.37
  6. Step 6: Final answer
    x = 667.14

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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.