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Finding the Fourth Proportional to 1,447.72, 1,995.78 and 1,033

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Solution

The fourth proportional to 1,447.72, 1,995.78 and 1,033 is: 1,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.72 : 1,995.78 = 1,033 : x
  2. Step 2: Convert to fraction form
    1,447.72/1,995.78 = 1,033/x
  3. Step 3: Cross multiply
    1,447.72x = 1,995.78 × 1,033
  4. Step 4: Simplify right side
    1,447.72x = 2,061,640.74
  5. Step 5: Solve for x
    x = 2,061,640.74/1,447.72
  6. Step 6: Final answer
    x = 1,424.06

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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.