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Finding the Fourth Proportional to 1,037.82, 1,552.83 and 748.62

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Solution

The fourth proportional to 1,037.82, 1,552.83 and 748.62 is: 1,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.82 : 1,552.83 = 748.62 : x
  2. Step 2: Convert to fraction form
    1,037.82/1,552.83 = 748.62/x
  3. Step 3: Cross multiply
    1,037.82x = 1,552.83 × 748.62
  4. Step 4: Simplify right side
    1,037.82x = 1,162,479.59
  5. Step 5: Solve for x
    x = 1,162,479.59/1,037.82
  6. Step 6: Final answer
    x = 1,120.12

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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.