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Finding the Fourth Proportional to 1,785.07, 2,677.73 and 486.50

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Solution

The fourth proportional to 1,785.07, 2,677.73 and 486.50 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.07 : 2,677.73 = 486.50 : x
  2. Step 2: Convert to fraction form
    1,785.07/2,677.73 = 486.50/x
  3. Step 3: Cross multiply
    1,785.07x = 2,677.73 × 486.50
  4. Step 4: Simplify right side
    1,785.07x = 1,302,715.65
  5. Step 5: Solve for x
    x = 1,302,715.65/1,785.07
  6. Step 6: Final answer
    x = 729.78

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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.