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Finding the Fourth Proportional to 754.91, 1,131.65 and 407.72

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Solution

The fourth proportional to 754.91, 1,131.65 and 407.72 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.91 : 1,131.65 = 407.72 : x
  2. Step 2: Convert to fraction form
    754.91/1,131.65 = 407.72/x
  3. Step 3: Cross multiply
    754.91x = 1,131.65 × 407.72
  4. Step 4: Simplify right side
    754.91x = 461,396.34
  5. Step 5: Solve for x
    x = 461,396.34/754.91
  6. Step 6: Final answer
    x = 611.19

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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.