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Finding the Fourth Proportional to 1,026.17, 1,414.43 and 694.47

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Solution

The fourth proportional to 1,026.17, 1,414.43 and 694.47 is: 957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.17 : 1,414.43 = 694.47 : x
  2. Step 2: Convert to fraction form
    1,026.17/1,414.43 = 694.47/x
  3. Step 3: Cross multiply
    1,026.17x = 1,414.43 × 694.47
  4. Step 4: Simplify right side
    1,026.17x = 982,283.64
  5. Step 5: Solve for x
    x = 982,283.64/1,026.17
  6. Step 6: Final answer
    x = 957.23

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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.