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Finding the Fourth Proportional to 1,433.20, 2,148.88 and 662.96

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Solution

The fourth proportional to 1,433.20, 2,148.88 and 662.96 is: 994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.20 : 2,148.88 = 662.96 : x
  2. Step 2: Convert to fraction form
    1,433.20/2,148.88 = 662.96/x
  3. Step 3: Cross multiply
    1,433.20x = 2,148.88 × 662.96
  4. Step 4: Simplify right side
    1,433.20x = 1,424,621.48
  5. Step 5: Solve for x
    x = 1,424,621.48/1,433.20
  6. Step 6: Final answer
    x = 994.01

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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.