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Finding the Fourth Proportional to 1,247.79, 1,721.67 and 723.52

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Solution

The fourth proportional to 1,247.79, 1,721.67 and 723.52 is: 998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.79 : 1,721.67 = 723.52 : x
  2. Step 2: Convert to fraction form
    1,247.79/1,721.67 = 723.52/x
  3. Step 3: Cross multiply
    1,247.79x = 1,721.67 × 723.52
  4. Step 4: Simplify right side
    1,247.79x = 1,245,656.50
  5. Step 5: Solve for x
    x = 1,245,656.50/1,247.79
  6. Step 6: Final answer
    x = 998.29

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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.