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Finding the Fourth Proportional to 1,037.12, 1,426.92 and 943.88

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Solution

The fourth proportional to 1,037.12, 1,426.92 and 943.88 is: 1,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.12 : 1,426.92 = 943.88 : x
  2. Step 2: Convert to fraction form
    1,037.12/1,426.92 = 943.88/x
  3. Step 3: Cross multiply
    1,037.12x = 1,426.92 × 943.88
  4. Step 4: Simplify right side
    1,037.12x = 1,346,841.25
  5. Step 5: Solve for x
    x = 1,346,841.25/1,037.12
  6. Step 6: Final answer
    x = 1,298.64

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