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Finding the Fourth Proportional to 1,747.83, 2,622.52 and 708.58

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Solution

The fourth proportional to 1,747.83, 2,622.52 and 708.58 is: 1,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.83 : 2,622.52 = 708.58 : x
  2. Step 2: Convert to fraction form
    1,747.83/2,622.52 = 708.58/x
  3. Step 3: Cross multiply
    1,747.83x = 2,622.52 × 708.58
  4. Step 4: Simplify right side
    1,747.83x = 1,858,265.22
  5. Step 5: Solve for x
    x = 1,858,265.22/1,747.83
  6. Step 6: Final answer
    x = 1,063.18

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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.