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Finding the Fourth Proportional to 785.13, 1,082.67 and 519.75

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Solution

The fourth proportional to 785.13, 1,082.67 and 519.75 is: 716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.13 : 1,082.67 = 519.75 : x
  2. Step 2: Convert to fraction form
    785.13/1,082.67 = 519.75/x
  3. Step 3: Cross multiply
    785.13x = 1,082.67 × 519.75
  4. Step 4: Simplify right side
    785.13x = 562,717.73
  5. Step 5: Solve for x
    x = 562,717.73/785.13
  6. Step 6: Final answer
    x = 716.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.