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Finding the Fourth Proportional to 1,434.45, 1,976.85 and 991.56

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Solution

The fourth proportional to 1,434.45, 1,976.85 and 991.56 is: 1,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.45 : 1,976.85 = 991.56 : x
  2. Step 2: Convert to fraction form
    1,434.45/1,976.85 = 991.56/x
  3. Step 3: Cross multiply
    1,434.45x = 1,976.85 × 991.56
  4. Step 4: Simplify right side
    1,434.45x = 1,960,165.39
  5. Step 5: Solve for x
    x = 1,960,165.39/1,434.45
  6. Step 6: Final answer
    x = 1,366.49

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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.