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Finding the Fourth Proportional to 1,252.10, 1,727.74 and 720.99

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Solution

The fourth proportional to 1,252.10, 1,727.74 and 720.99 is: 994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.10 : 1,727.74 = 720.99 : x
  2. Step 2: Convert to fraction form
    1,252.10/1,727.74 = 720.99/x
  3. Step 3: Cross multiply
    1,252.10x = 1,727.74 × 720.99
  4. Step 4: Simplify right side
    1,252.10x = 1,245,683.26
  5. Step 5: Solve for x
    x = 1,245,683.26/1,252.10
  6. Step 6: Final answer
    x = 994.88

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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.