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Finding the Fourth Proportional to 1,096.13, 1,512.48 and 623.90

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Solution

The fourth proportional to 1,096.13, 1,512.48 and 623.90 is: 860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.13 : 1,512.48 = 623.90 : x
  2. Step 2: Convert to fraction form
    1,096.13/1,512.48 = 623.90/x
  3. Step 3: Cross multiply
    1,096.13x = 1,512.48 × 623.90
  4. Step 4: Simplify right side
    1,096.13x = 943,636.27
  5. Step 5: Solve for x
    x = 943,636.27/1,096.13
  6. Step 6: Final answer
    x = 860.88

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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.