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Finding the Fourth Proportional to 1,648.67, 2,472.20 and 723.84

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Solution

The fourth proportional to 1,648.67, 2,472.20 and 723.84 is: 1,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.67 : 2,472.20 = 723.84 : x
  2. Step 2: Convert to fraction form
    1,648.67/2,472.20 = 723.84/x
  3. Step 3: Cross multiply
    1,648.67x = 2,472.20 × 723.84
  4. Step 4: Simplify right side
    1,648.67x = 1,789,473.63
  5. Step 5: Solve for x
    x = 1,789,473.63/1,648.67
  6. Step 6: Final answer
    x = 1,085.41

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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.