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Finding the Fourth Proportional to 1,116.03, 1,674.11 and 294.30

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Solution

The fourth proportional to 1,116.03, 1,674.11 and 294.30 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.03 : 1,674.11 = 294.30 : x
  2. Step 2: Convert to fraction form
    1,116.03/1,674.11 = 294.30/x
  3. Step 3: Cross multiply
    1,116.03x = 1,674.11 × 294.30
  4. Step 4: Simplify right side
    1,116.03x = 492,690.57
  5. Step 5: Solve for x
    x = 492,690.57/1,116.03
  6. Step 6: Final answer
    x = 441.47

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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.