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Finding the Fourth Proportional to 785.11, 1,176.45 and 567.76

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Solution

The fourth proportional to 785.11, 1,176.45 and 567.76 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.11 : 1,176.45 = 567.76 : x
  2. Step 2: Convert to fraction form
    785.11/1,176.45 = 567.76/x
  3. Step 3: Cross multiply
    785.11x = 1,176.45 × 567.76
  4. Step 4: Simplify right side
    785.11x = 667,941.25
  5. Step 5: Solve for x
    x = 667,941.25/785.11
  6. Step 6: Final answer
    x = 850.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.