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Finding the Fourth Proportional to 1,423.03, 1,964.16 and 863.52

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Solution

The fourth proportional to 1,423.03, 1,964.16 and 863.52 is: 1,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.03 : 1,964.16 = 863.52 : x
  2. Step 2: Convert to fraction form
    1,423.03/1,964.16 = 863.52/x
  3. Step 3: Cross multiply
    1,423.03x = 1,964.16 × 863.52
  4. Step 4: Simplify right side
    1,423.03x = 1,696,091.44
  5. Step 5: Solve for x
    x = 1,696,091.44/1,423.03
  6. Step 6: Final answer
    x = 1,191.89

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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.