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Finding the Fourth Proportional to 1,785.24, 2,677.50 and 486.54

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Solution

The fourth proportional to 1,785.24, 2,677.50 and 486.54 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.24 : 2,677.50 = 486.54 : x
  2. Step 2: Convert to fraction form
    1,785.24/2,677.50 = 486.54/x
  3. Step 3: Cross multiply
    1,785.24x = 2,677.50 × 486.54
  4. Step 4: Simplify right side
    1,785.24x = 1,302,710.85
  5. Step 5: Solve for x
    x = 1,302,710.85/1,785.24
  6. Step 6: Final answer
    x = 729.71

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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.