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Finding the Fourth Proportional to 785.03, 1,082.47 and 536.49

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Solution

The fourth proportional to 785.03, 1,082.47 and 536.49 is: 739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.03 : 1,082.47 = 536.49 : x
  2. Step 2: Convert to fraction form
    785.03/1,082.47 = 536.49/x
  3. Step 3: Cross multiply
    785.03x = 1,082.47 × 536.49
  4. Step 4: Simplify right side
    785.03x = 580,734.33
  5. Step 5: Solve for x
    x = 580,734.33/785.03
  6. Step 6: Final answer
    x = 739.76

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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.