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Finding the Fourth Proportional to 1,096.14, 1,512.84 and 630.36

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Solution

The fourth proportional to 1,096.14, 1,512.84 and 630.36 is: 869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.14 : 1,512.84 = 630.36 : x
  2. Step 2: Convert to fraction form
    1,096.14/1,512.84 = 630.36/x
  3. Step 3: Cross multiply
    1,096.14x = 1,512.84 × 630.36
  4. Step 4: Simplify right side
    1,096.14x = 953,633.82
  5. Step 5: Solve for x
    x = 953,633.82/1,096.14
  6. Step 6: Final answer
    x = 869.99

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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.