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Finding the Fourth Proportional to 676.46, 1,014.93 and 243.74

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Solution

The fourth proportional to 676.46, 1,014.93 and 243.74 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 1,014.93 = 243.74 : x
  2. Step 2: Convert to fraction form
    676.46/1,014.93 = 243.74/x
  3. Step 3: Cross multiply
    676.46x = 1,014.93 × 243.74
  4. Step 4: Simplify right side
    676.46x = 247,379.04
  5. Step 5: Solve for x
    x = 247,379.04/676.46
  6. Step 6: Final answer
    x = 365.70

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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.