Home / 1,037.28-1,563.72-966.78

Finding the Fourth Proportional to 1,037.28, 1,563.72 and 966.78

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Solution

The fourth proportional to 1,037.28, 1,563.72 and 966.78 is: 1,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.28 : 1,563.72 = 966.78 : x
  2. Step 2: Convert to fraction form
    1,037.28/1,563.72 = 966.78/x
  3. Step 3: Cross multiply
    1,037.28x = 1,563.72 × 966.78
  4. Step 4: Simplify right side
    1,037.28x = 1,511,773.22
  5. Step 5: Solve for x
    x = 1,511,773.22/1,037.28
  6. Step 6: Final answer
    x = 1,457.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.