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Finding the Fourth Proportional to 1,423.31, 1,964.19 and 863.81

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Solution

The fourth proportional to 1,423.31, 1,964.19 and 863.81 is: 1,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.31 : 1,964.19 = 863.81 : x
  2. Step 2: Convert to fraction form
    1,423.31/1,964.19 = 863.81/x
  3. Step 3: Cross multiply
    1,423.31x = 1,964.19 × 863.81
  4. Step 4: Simplify right side
    1,423.31x = 1,696,677.14
  5. Step 5: Solve for x
    x = 1,696,677.14/1,423.31
  6. Step 6: Final answer
    x = 1,192.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.