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Finding the Fourth Proportional to 1,246.88, 1,720.69 and 723.01

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Solution

The fourth proportional to 1,246.88, 1,720.69 and 723.01 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.88 : 1,720.69 = 723.01 : x
  2. Step 2: Convert to fraction form
    1,246.88/1,720.69 = 723.01/x
  3. Step 3: Cross multiply
    1,246.88x = 1,720.69 × 723.01
  4. Step 4: Simplify right side
    1,246.88x = 1,244,076.08
  5. Step 5: Solve for x
    x = 1,244,076.08/1,246.88
  6. Step 6: Final answer
    x = 997.75

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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.