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Finding the Fourth Proportional to 1,096.12, 1,650.67 and 953.56

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Solution

The fourth proportional to 1,096.12, 1,650.67 and 953.56 is: 1,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.12 : 1,650.67 = 953.56 : x
  2. Step 2: Convert to fraction form
    1,096.12/1,650.67 = 953.56/x
  3. Step 3: Cross multiply
    1,096.12x = 1,650.67 × 953.56
  4. Step 4: Simplify right side
    1,096.12x = 1,574,012.89
  5. Step 5: Solve for x
    x = 1,574,012.89/1,096.12
  6. Step 6: Final answer
    x = 1,435.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.