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Finding the Fourth Proportional to 1,433.46, 1,975.82 and 1,013.28

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Solution

The fourth proportional to 1,433.46, 1,975.82 and 1,013.28 is: 1,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.46 : 1,975.82 = 1,013.28 : x
  2. Step 2: Convert to fraction form
    1,433.46/1,975.82 = 1,013.28/x
  3. Step 3: Cross multiply
    1,433.46x = 1,975.82 × 1,013.28
  4. Step 4: Simplify right side
    1,433.46x = 2,002,052.11
  5. Step 5: Solve for x
    x = 2,002,052.11/1,433.46
  6. Step 6: Final answer
    x = 1,396.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.