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Finding the Fourth Proportional to 1,024.92, 1,535.82 and 447

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Solution

The fourth proportional to 1,024.92, 1,535.82 and 447 is: 669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.92 : 1,535.82 = 447 : x
  2. Step 2: Convert to fraction form
    1,024.92/1,535.82 = 447/x
  3. Step 3: Cross multiply
    1,024.92x = 1,535.82 × 447
  4. Step 4: Simplify right side
    1,024.92x = 686,511.54
  5. Step 5: Solve for x
    x = 686,511.54/1,024.92
  6. Step 6: Final answer
    x = 669.82

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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.