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Finding the Fourth Proportional to 1,037.35, 1,556.29 and 629.11

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Solution

The fourth proportional to 1,037.35, 1,556.29 and 629.11 is: 943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.35 : 1,556.29 = 629.11 : x
  2. Step 2: Convert to fraction form
    1,037.35/1,556.29 = 629.11/x
  3. Step 3: Cross multiply
    1,037.35x = 1,556.29 × 629.11
  4. Step 4: Simplify right side
    1,037.35x = 979,077.60
  5. Step 5: Solve for x
    x = 979,077.60/1,037.35
  6. Step 6: Final answer
    x = 943.83

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Why These Related Problems?

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