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Finding the Fourth Proportional to 677.70, 1,013.67 and 493.02

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Solution

The fourth proportional to 677.70, 1,013.67 and 493.02 is: 737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 1,013.67 = 493.02 : x
  2. Step 2: Convert to fraction form
    677.70/1,013.67 = 493.02/x
  3. Step 3: Cross multiply
    677.70x = 1,013.67 × 493.02
  4. Step 4: Simplify right side
    677.70x = 499,759.58
  5. Step 5: Solve for x
    x = 499,759.58/677.70
  6. Step 6: Final answer
    x = 737.43

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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.