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Finding the Fourth Proportional to 1,037.68, 1,431.90 and 664.64

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Solution

The fourth proportional to 1,037.68, 1,431.90 and 664.64 is: 917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.68 : 1,431.90 = 664.64 : x
  2. Step 2: Convert to fraction form
    1,037.68/1,431.90 = 664.64/x
  3. Step 3: Cross multiply
    1,037.68x = 1,431.90 × 664.64
  4. Step 4: Simplify right side
    1,037.68x = 951,698.02
  5. Step 5: Solve for x
    x = 951,698.02/1,037.68
  6. Step 6: Final answer
    x = 917.14

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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.