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Finding the Fourth Proportional to 753.96, 1,131.51 and 337.62

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Solution

The fourth proportional to 753.96, 1,131.51 and 337.62 is: 506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.96 : 1,131.51 = 337.62 : x
  2. Step 2: Convert to fraction form
    753.96/1,131.51 = 337.62/x
  3. Step 3: Cross multiply
    753.96x = 1,131.51 × 337.62
  4. Step 4: Simplify right side
    753.96x = 382,020.41
  5. Step 5: Solve for x
    x = 382,020.41/753.96
  6. Step 6: Final answer
    x = 506.69

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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.