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Finding the Fourth Proportional to 790.11, 1,184.13 and 516.06

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Solution

The fourth proportional to 790.11, 1,184.13 and 516.06 is: 773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.11 : 1,184.13 = 516.06 : x
  2. Step 2: Convert to fraction form
    790.11/1,184.13 = 516.06/x
  3. Step 3: Cross multiply
    790.11x = 1,184.13 × 516.06
  4. Step 4: Simplify right side
    790.11x = 611,082.13
  5. Step 5: Solve for x
    x = 611,082.13/790.11
  6. Step 6: Final answer
    x = 773.41

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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.