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Finding the Fourth Proportional to 1,248.37, 1,722.61 and 724.42

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Solution

The fourth proportional to 1,248.37, 1,722.61 and 724.42 is: 999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.37 : 1,722.61 = 724.42 : x
  2. Step 2: Convert to fraction form
    1,248.37/1,722.61 = 724.42/x
  3. Step 3: Cross multiply
    1,248.37x = 1,722.61 × 724.42
  4. Step 4: Simplify right side
    1,248.37x = 1,247,893.14
  5. Step 5: Solve for x
    x = 1,247,893.14/1,248.37
  6. Step 6: Final answer
    x = 999.62

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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.