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Finding the Fourth Proportional to 1,418.31, 1,957.17 and 828.90

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Solution

The fourth proportional to 1,418.31, 1,957.17 and 828.90 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.31 : 1,957.17 = 828.90 : x
  2. Step 2: Convert to fraction form
    1,418.31/1,957.17 = 828.90/x
  3. Step 3: Cross multiply
    1,418.31x = 1,957.17 × 828.90
  4. Step 4: Simplify right side
    1,418.31x = 1,622,298.21
  5. Step 5: Solve for x
    x = 1,622,298.21/1,418.31
  6. Step 6: Final answer
    x = 1,143.82

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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.