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Finding the Fourth Proportional to 672.91, 1,010.75 and 399.54

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Solution

The fourth proportional to 672.91, 1,010.75 and 399.54 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.91 : 1,010.75 = 399.54 : x
  2. Step 2: Convert to fraction form
    672.91/1,010.75 = 399.54/x
  3. Step 3: Cross multiply
    672.91x = 1,010.75 × 399.54
  4. Step 4: Simplify right side
    672.91x = 403,835.06
  5. Step 5: Solve for x
    x = 403,835.06/672.91
  6. Step 6: Final answer
    x = 600.13

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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.