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Finding the Fourth Proportional to 1,096.02, 1,510.94 and 676.09

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Solution

The fourth proportional to 1,096.02, 1,510.94 and 676.09 is: 932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.02 : 1,510.94 = 676.09 : x
  2. Step 2: Convert to fraction form
    1,096.02/1,510.94 = 676.09/x
  3. Step 3: Cross multiply
    1,096.02x = 1,510.94 × 676.09
  4. Step 4: Simplify right side
    1,096.02x = 1,021,532.47
  5. Step 5: Solve for x
    x = 1,021,532.47/1,096.02
  6. Step 6: Final answer
    x = 932.04

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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.