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Finding the Fourth Proportional to 1,423.56, 1,963.74 and 863.70

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Solution

The fourth proportional to 1,423.56, 1,963.74 and 863.70 is: 1,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.56 : 1,963.74 = 863.70 : x
  2. Step 2: Convert to fraction form
    1,423.56/1,963.74 = 863.70/x
  3. Step 3: Cross multiply
    1,423.56x = 1,963.74 × 863.70
  4. Step 4: Simplify right side
    1,423.56x = 1,696,082.24
  5. Step 5: Solve for x
    x = 1,696,082.24/1,423.56
  6. Step 6: Final answer
    x = 1,191.44

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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.