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Finding the Fourth Proportional to 933.96, 1,398.90 and 499.80

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Solution

The fourth proportional to 933.96, 1,398.90 and 499.80 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.96 : 1,398.90 = 499.80 : x
  2. Step 2: Convert to fraction form
    933.96/1,398.90 = 499.80/x
  3. Step 3: Cross multiply
    933.96x = 1,398.90 × 499.80
  4. Step 4: Simplify right side
    933.96x = 699,170.22
  5. Step 5: Solve for x
    x = 699,170.22/933.96
  6. Step 6: Final answer
    x = 748.61

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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.