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Finding the Fourth Proportional to 1,648.29, 2,472.44 and 478.36

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Solution

The fourth proportional to 1,648.29, 2,472.44 and 478.36 is: 717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.29 : 2,472.44 = 478.36 : x
  2. Step 2: Convert to fraction form
    1,648.29/2,472.44 = 478.36/x
  3. Step 3: Cross multiply
    1,648.29x = 2,472.44 × 478.36
  4. Step 4: Simplify right side
    1,648.29x = 1,182,716.40
  5. Step 5: Solve for x
    x = 1,182,716.40/1,648.29
  6. Step 6: Final answer
    x = 717.54

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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.