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Finding the Fourth Proportional to 1,115.95, 1,673.87 and 294.20

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Solution

The fourth proportional to 1,115.95, 1,673.87 and 294.20 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.95 : 1,673.87 = 294.20 : x
  2. Step 2: Convert to fraction form
    1,115.95/1,673.87 = 294.20/x
  3. Step 3: Cross multiply
    1,115.95x = 1,673.87 × 294.20
  4. Step 4: Simplify right side
    1,115.95x = 492,451.08
  5. Step 5: Solve for x
    x = 492,451.08/1,115.95
  6. Step 6: Final answer
    x = 441.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.