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Finding the Fourth Proportional to 1,115.82, 1,539.83 and 673.71

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Solution

The fourth proportional to 1,115.82, 1,539.83 and 673.71 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.82 : 1,539.83 = 673.71 : x
  2. Step 2: Convert to fraction form
    1,115.82/1,539.83 = 673.71/x
  3. Step 3: Cross multiply
    1,115.82x = 1,539.83 × 673.71
  4. Step 4: Simplify right side
    1,115.82x = 1,037,387.80
  5. Step 5: Solve for x
    x = 1,037,387.80/1,115.82
  6. Step 6: Final answer
    x = 929.71

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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.