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Finding the Fourth Proportional to 1,098.26, 1,650.08 and 708.46

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Solution

The fourth proportional to 1,098.26, 1,650.08 and 708.46 is: 1,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.26 : 1,650.08 = 708.46 : x
  2. Step 2: Convert to fraction form
    1,098.26/1,650.08 = 708.46/x
  3. Step 3: Cross multiply
    1,098.26x = 1,650.08 × 708.46
  4. Step 4: Simplify right side
    1,098.26x = 1,169,015.68
  5. Step 5: Solve for x
    x = 1,169,015.68/1,098.26
  6. Step 6: Final answer
    x = 1,064.43

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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.