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Finding the Fourth Proportional to 1,096.73, 1,510.92 and 764.57

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Solution

The fourth proportional to 1,096.73, 1,510.92 and 764.57 is: 1,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.73 : 1,510.92 = 764.57 : x
  2. Step 2: Convert to fraction form
    1,096.73/1,510.92 = 764.57/x
  3. Step 3: Cross multiply
    1,096.73x = 1,510.92 × 764.57
  4. Step 4: Simplify right side
    1,096.73x = 1,155,196.55
  5. Step 5: Solve for x
    x = 1,155,196.55/1,096.73
  6. Step 6: Final answer
    x = 1,053.31

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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.