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Finding the Fourth Proportional to 1,096.07, 1,512.57 and 623.94

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Solution

The fourth proportional to 1,096.07, 1,512.57 and 623.94 is: 861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.07 : 1,512.57 = 623.94 : x
  2. Step 2: Convert to fraction form
    1,096.07/1,512.57 = 623.94/x
  3. Step 3: Cross multiply
    1,096.07x = 1,512.57 × 623.94
  4. Step 4: Simplify right side
    1,096.07x = 943,752.93
  5. Step 5: Solve for x
    x = 943,752.93/1,096.07
  6. Step 6: Final answer
    x = 861.04

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