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Finding the Fourth Proportional to 1,737.67, 2,606.43 and 763.78

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Solution

The fourth proportional to 1,737.67, 2,606.43 and 763.78 is: 1,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.67 : 2,606.43 = 763.78 : x
  2. Step 2: Convert to fraction form
    1,737.67/2,606.43 = 763.78/x
  3. Step 3: Cross multiply
    1,737.67x = 2,606.43 × 763.78
  4. Step 4: Simplify right side
    1,737.67x = 1,990,739.11
  5. Step 5: Solve for x
    x = 1,990,739.11/1,737.67
  6. Step 6: Final answer
    x = 1,145.64

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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.