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Finding the Fourth Proportional to 1,785.14, 2,677.69 and 486.61

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Solution

The fourth proportional to 1,785.14, 2,677.69 and 486.61 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.14 : 2,677.69 = 486.61 : x
  2. Step 2: Convert to fraction form
    1,785.14/2,677.69 = 486.61/x
  3. Step 3: Cross multiply
    1,785.14x = 2,677.69 × 486.61
  4. Step 4: Simplify right side
    1,785.14x = 1,302,990.73
  5. Step 5: Solve for x
    x = 1,302,990.73/1,785.14
  6. Step 6: Final answer
    x = 729.91

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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.