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Finding the Fourth Proportional to 1,437.75, 1,983.29 and 940.28

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Solution

The fourth proportional to 1,437.75, 1,983.29 and 940.28 is: 1,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.75 : 1,983.29 = 940.28 : x
  2. Step 2: Convert to fraction form
    1,437.75/1,983.29 = 940.28/x
  3. Step 3: Cross multiply
    1,437.75x = 1,983.29 × 940.28
  4. Step 4: Simplify right side
    1,437.75x = 1,864,833.30
  5. Step 5: Solve for x
    x = 1,864,833.30/1,437.75
  6. Step 6: Final answer
    x = 1,297.05

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Why These Related Problems?

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