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Finding the Fourth Proportional to 785.43, 1,176.44 and 716.67

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Solution

The fourth proportional to 785.43, 1,176.44 and 716.67 is: 1,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.43 : 1,176.44 = 716.67 : x
  2. Step 2: Convert to fraction form
    785.43/1,176.44 = 716.67/x
  3. Step 3: Cross multiply
    785.43x = 1,176.44 × 716.67
  4. Step 4: Simplify right side
    785.43x = 843,115.67
  5. Step 5: Solve for x
    x = 843,115.67/785.43
  6. Step 6: Final answer
    x = 1,073.44

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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.