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Finding the Fourth Proportional to 765.24, 1,147.22 and 374.84

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Solution

The fourth proportional to 765.24, 1,147.22 and 374.84 is: 561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.24 : 1,147.22 = 374.84 : x
  2. Step 2: Convert to fraction form
    765.24/1,147.22 = 374.84/x
  3. Step 3: Cross multiply
    765.24x = 1,147.22 × 374.84
  4. Step 4: Simplify right side
    765.24x = 430,023.94
  5. Step 5: Solve for x
    x = 430,023.94/765.24
  6. Step 6: Final answer
    x = 561.95

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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.