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Finding the Fourth Proportional to 1,037.77, 1,431.64 and 664.57

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Solution

The fourth proportional to 1,037.77, 1,431.64 and 664.57 is: 916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.77 : 1,431.64 = 664.57 : x
  2. Step 2: Convert to fraction form
    1,037.77/1,431.64 = 664.57/x
  3. Step 3: Cross multiply
    1,037.77x = 1,431.64 × 664.57
  4. Step 4: Simplify right side
    1,037.77x = 951,424.99
  5. Step 5: Solve for x
    x = 951,424.99/1,037.77
  6. Step 6: Final answer
    x = 916.80

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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.