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Finding the Fourth Proportional to 785.76, 1,082.61 and 536.55

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Solution

The fourth proportional to 785.76, 1,082.61 and 536.55 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.76 : 1,082.61 = 536.55 : x
  2. Step 2: Convert to fraction form
    785.76/1,082.61 = 536.55/x
  3. Step 3: Cross multiply
    785.76x = 1,082.61 × 536.55
  4. Step 4: Simplify right side
    785.76x = 580,874.40
  5. Step 5: Solve for x
    x = 580,874.40/785.76
  6. Step 6: Final answer
    x = 739.25

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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.