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Finding the Fourth Proportional to 1,738.30, 2,607.41 and 439.78

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Solution

The fourth proportional to 1,738.30, 2,607.41 and 439.78 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.30 : 2,607.41 = 439.78 : x
  2. Step 2: Convert to fraction form
    1,738.30/2,607.41 = 439.78/x
  3. Step 3: Cross multiply
    1,738.30x = 2,607.41 × 439.78
  4. Step 4: Simplify right side
    1,738.30x = 1,146,686.77
  5. Step 5: Solve for x
    x = 1,146,686.77/1,738.30
  6. Step 6: Final answer
    x = 659.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.