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Finding the Fourth Proportional to 1,116.34, 1,674.43 and 294.59

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Solution

The fourth proportional to 1,116.34, 1,674.43 and 294.59 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.34 : 1,674.43 = 294.59 : x
  2. Step 2: Convert to fraction form
    1,116.34/1,674.43 = 294.59/x
  3. Step 3: Cross multiply
    1,116.34x = 1,674.43 × 294.59
  4. Step 4: Simplify right side
    1,116.34x = 493,273.78
  5. Step 5: Solve for x
    x = 493,273.78/1,116.34
  6. Step 6: Final answer
    x = 441.87

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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.