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Finding the Fourth Proportional to 1,016.24, 1,400.49 and 721.00

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Solution

The fourth proportional to 1,016.24, 1,400.49 and 721.00 is: 993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.24 : 1,400.49 = 721.00 : x
  2. Step 2: Convert to fraction form
    1,016.24/1,400.49 = 721.00/x
  3. Step 3: Cross multiply
    1,016.24x = 1,400.49 × 721.00
  4. Step 4: Simplify right side
    1,016.24x = 1,009,742.68
  5. Step 5: Solve for x
    x = 1,009,742.68/1,016.24
  6. Step 6: Final answer
    x = 993.61

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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.