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Finding the Fourth Proportional to 754.66, 1,131.99 and 430.27

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Solution

The fourth proportional to 754.66, 1,131.99 and 430.27 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.66 : 1,131.99 = 430.27 : x
  2. Step 2: Convert to fraction form
    754.66/1,131.99 = 430.27/x
  3. Step 3: Cross multiply
    754.66x = 1,131.99 × 430.27
  4. Step 4: Simplify right side
    754.66x = 487,061.34
  5. Step 5: Solve for x
    x = 487,061.34/754.66
  6. Step 6: Final answer
    x = 645.41

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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.