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Finding the Fourth Proportional to 1,648.24, 2,472.38 and 537.65

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Solution

The fourth proportional to 1,648.24, 2,472.38 and 537.65 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.24 : 2,472.38 = 537.65 : x
  2. Step 2: Convert to fraction form
    1,648.24/2,472.38 = 537.65/x
  3. Step 3: Cross multiply
    1,648.24x = 2,472.38 × 537.65
  4. Step 4: Simplify right side
    1,648.24x = 1,329,272.69
  5. Step 5: Solve for x
    x = 1,329,272.69/1,648.24
  6. Step 6: Final answer
    x = 806.48

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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.