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Finding the Fourth Proportional to 758.09, 1,128.74 and 713

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Solution

The fourth proportional to 758.09, 1,128.74 and 713 is: 1,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.09 : 1,128.74 = 713 : x
  2. Step 2: Convert to fraction form
    758.09/1,128.74 = 713/x
  3. Step 3: Cross multiply
    758.09x = 1,128.74 × 713
  4. Step 4: Simplify right side
    758.09x = 804,791.62
  5. Step 5: Solve for x
    x = 804,791.62/758.09
  6. Step 6: Final answer
    x = 1,061.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.