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Finding the Fourth Proportional to 757.23, 1,133.46 and 524.94

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Solution

The fourth proportional to 757.23, 1,133.46 and 524.94 is: 785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.23 : 1,133.46 = 524.94 : x
  2. Step 2: Convert to fraction form
    757.23/1,133.46 = 524.94/x
  3. Step 3: Cross multiply
    757.23x = 1,133.46 × 524.94
  4. Step 4: Simplify right side
    757.23x = 594,998.49
  5. Step 5: Solve for x
    x = 594,998.49/757.23
  6. Step 6: Final answer
    x = 785.76

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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.