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Finding the Fourth Proportional to 745.33, 1,115.91 and 687.91

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Solution

The fourth proportional to 745.33, 1,115.91 and 687.91 is: 1,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.33 : 1,115.91 = 687.91 : x
  2. Step 2: Convert to fraction form
    745.33/1,115.91 = 687.91/x
  3. Step 3: Cross multiply
    745.33x = 1,115.91 × 687.91
  4. Step 4: Simplify right side
    745.33x = 767,645.65
  5. Step 5: Solve for x
    x = 767,645.65/745.33
  6. Step 6: Final answer
    x = 1,029.94

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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.