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Finding the Fourth Proportional to 1,037.56, 1,556.46 and 344.02

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Solution

The fourth proportional to 1,037.56, 1,556.46 and 344.02 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.56 : 1,556.46 = 344.02 : x
  2. Step 2: Convert to fraction form
    1,037.56/1,556.46 = 344.02/x
  3. Step 3: Cross multiply
    1,037.56x = 1,556.46 × 344.02
  4. Step 4: Simplify right side
    1,037.56x = 535,453.37
  5. Step 5: Solve for x
    x = 535,453.37/1,037.56
  6. Step 6: Final answer
    x = 516.07

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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.