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Finding the Fourth Proportional to 1,737.89, 2,607.44 and 764.06

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Solution

The fourth proportional to 1,737.89, 2,607.44 and 764.06 is: 1,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.89 : 2,607.44 = 764.06 : x
  2. Step 2: Convert to fraction form
    1,737.89/2,607.44 = 764.06/x
  3. Step 3: Cross multiply
    1,737.89x = 2,607.44 × 764.06
  4. Step 4: Simplify right side
    1,737.89x = 1,992,243.30
  5. Step 5: Solve for x
    x = 1,992,243.30/1,737.89
  6. Step 6: Final answer
    x = 1,146.36

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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.