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Finding the Fourth Proportional to 1,006.92, 1,509.48 and 733.68

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Solution

The fourth proportional to 1,006.92, 1,509.48 and 733.68 is: 1,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.92 : 1,509.48 = 733.68 : x
  2. Step 2: Convert to fraction form
    1,006.92/1,509.48 = 733.68/x
  3. Step 3: Cross multiply
    1,006.92x = 1,509.48 × 733.68
  4. Step 4: Simplify right side
    1,006.92x = 1,107,475.29
  5. Step 5: Solve for x
    x = 1,107,475.29/1,006.92
  6. Step 6: Final answer
    x = 1,099.86

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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.