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Finding the Fourth Proportional to 679.93, 1,020.53 and 314.96

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Solution

The fourth proportional to 679.93, 1,020.53 and 314.96 is: 472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.93 : 1,020.53 = 314.96 : x
  2. Step 2: Convert to fraction form
    679.93/1,020.53 = 314.96/x
  3. Step 3: Cross multiply
    679.93x = 1,020.53 × 314.96
  4. Step 4: Simplify right side
    679.93x = 321,421.81
  5. Step 5: Solve for x
    x = 321,421.81/679.93
  6. Step 6: Final answer
    x = 472.73

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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.