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Finding the Fourth Proportional to 1,116.11, 1,674.11 and 294.38

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Solution

The fourth proportional to 1,116.11, 1,674.11 and 294.38 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.11 : 1,674.11 = 294.38 : x
  2. Step 2: Convert to fraction form
    1,116.11/1,674.11 = 294.38/x
  3. Step 3: Cross multiply
    1,116.11x = 1,674.11 × 294.38
  4. Step 4: Simplify right side
    1,116.11x = 492,825.19
  5. Step 5: Solve for x
    x = 492,825.19/1,116.11
  6. Step 6: Final answer
    x = 441.56

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Why These Related Problems?

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