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Finding the Fourth Proportional to 785, 1,178 and 493.09

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Solution

The fourth proportional to 785, 1,178 and 493.09 is: 739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    785 : 1,178 = 493.09 : x
  2. Step 2: Convert to fraction form
    785/1,178 = 493.09/x
  3. Step 3: Cross multiply
    785x = 1,178 × 493.09
  4. Step 4: Simplify right side
    785x = 580,860.02
  5. Step 5: Solve for x
    x = 580,860.02/785
  6. Step 6: Final answer
    x = 739.95

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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.