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Finding the Fourth Proportional to 1,445.92, 1,995.27 and 816.49

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Solution

The fourth proportional to 1,445.92, 1,995.27 and 816.49 is: 1,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.92 : 1,995.27 = 816.49 : x
  2. Step 2: Convert to fraction form
    1,445.92/1,995.27 = 816.49/x
  3. Step 3: Cross multiply
    1,445.92x = 1,995.27 × 816.49
  4. Step 4: Simplify right side
    1,445.92x = 1,629,117.43
  5. Step 5: Solve for x
    x = 1,629,117.43/1,445.92
  6. Step 6: Final answer
    x = 1,126.70

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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.