Home / 1,310.73-1,964.30-724.86

Finding the Fourth Proportional to 1,310.73, 1,964.30 and 724.86

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Solution

The fourth proportional to 1,310.73, 1,964.30 and 724.86 is: 1,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.73 : 1,964.30 = 724.86 : x
  2. Step 2: Convert to fraction form
    1,310.73/1,964.30 = 724.86/x
  3. Step 3: Cross multiply
    1,310.73x = 1,964.30 × 724.86
  4. Step 4: Simplify right side
    1,310.73x = 1,423,838.87
  5. Step 5: Solve for x
    x = 1,423,838.87/1,310.73
  6. Step 6: Final answer
    x = 1,086.30

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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.