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Finding the Fourth Proportional to 754.82, 1,131.59 and 524.15

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Solution

The fourth proportional to 754.82, 1,131.59 and 524.15 is: 785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.82 : 1,131.59 = 524.15 : x
  2. Step 2: Convert to fraction form
    754.82/1,131.59 = 524.15/x
  3. Step 3: Cross multiply
    754.82x = 1,131.59 × 524.15
  4. Step 4: Simplify right side
    754.82x = 593,127.04
  5. Step 5: Solve for x
    x = 593,127.04/754.82
  6. Step 6: Final answer
    x = 785.79

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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.