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Finding the Fourth Proportional to 1,576.66, 2,362.92 and 698.86

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Solution

The fourth proportional to 1,576.66, 2,362.92 and 698.86 is: 1,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.66 : 2,362.92 = 698.86 : x
  2. Step 2: Convert to fraction form
    1,576.66/2,362.92 = 698.86/x
  3. Step 3: Cross multiply
    1,576.66x = 2,362.92 × 698.86
  4. Step 4: Simplify right side
    1,576.66x = 1,651,350.27
  5. Step 5: Solve for x
    x = 1,651,350.27/1,576.66
  6. Step 6: Final answer
    x = 1,047.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.