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Finding the Fourth Proportional to 1,037.57, 1,431.83 and 577.12

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Solution

The fourth proportional to 1,037.57, 1,431.83 and 577.12 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.57 : 1,431.83 = 577.12 : x
  2. Step 2: Convert to fraction form
    1,037.57/1,431.83 = 577.12/x
  3. Step 3: Cross multiply
    1,037.57x = 1,431.83 × 577.12
  4. Step 4: Simplify right side
    1,037.57x = 826,334.84
  5. Step 5: Solve for x
    x = 826,334.84/1,037.57
  6. Step 6: Final answer
    x = 796.41

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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.