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Finding the Fourth Proportional to 1,759.24, 2,638.62 and 733

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Solution

The fourth proportional to 1,759.24, 2,638.62 and 733 is: 1,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.24 : 2,638.62 = 733 : x
  2. Step 2: Convert to fraction form
    1,759.24/2,638.62 = 733/x
  3. Step 3: Cross multiply
    1,759.24x = 2,638.62 × 733
  4. Step 4: Simplify right side
    1,759.24x = 1,934,108.46
  5. Step 5: Solve for x
    x = 1,934,108.46/1,759.24
  6. Step 6: Final answer
    x = 1,099.40

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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.