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Finding the Fourth Proportional to 1,648.64, 2,473.40 and 724.41

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Solution

The fourth proportional to 1,648.64, 2,473.40 and 724.41 is: 1,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.64 : 2,473.40 = 724.41 : x
  2. Step 2: Convert to fraction form
    1,648.64/2,473.40 = 724.41/x
  3. Step 3: Cross multiply
    1,648.64x = 2,473.40 × 724.41
  4. Step 4: Simplify right side
    1,648.64x = 1,791,757.51
  5. Step 5: Solve for x
    x = 1,791,757.51/1,648.64
  6. Step 6: Final answer
    x = 1,086.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.