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Finding the Fourth Proportional to 1,037.53, 1,433.06 and 819.37

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Solution

The fourth proportional to 1,037.53, 1,433.06 and 819.37 is: 1,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.53 : 1,433.06 = 819.37 : x
  2. Step 2: Convert to fraction form
    1,037.53/1,433.06 = 819.37/x
  3. Step 3: Cross multiply
    1,037.53x = 1,433.06 × 819.37
  4. Step 4: Simplify right side
    1,037.53x = 1,174,206.37
  5. Step 5: Solve for x
    x = 1,174,206.37/1,037.53
  6. Step 6: Final answer
    x = 1,131.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.