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Finding the Fourth Proportional to 681, 1,021.55 and 499.54

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Solution

The fourth proportional to 681, 1,021.55 and 499.54 is: 749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 1,021.55 = 499.54 : x
  2. Step 2: Convert to fraction form
    681/1,021.55 = 499.54/x
  3. Step 3: Cross multiply
    681x = 1,021.55 × 499.54
  4. Step 4: Simplify right side
    681x = 510,305.09
  5. Step 5: Solve for x
    x = 510,305.09/681
  6. Step 6: Final answer
    x = 749.35

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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.