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Finding the Fourth Proportional to 672.65, 1,009.00 and 185.69

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Solution

The fourth proportional to 672.65, 1,009.00 and 185.69 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.65 : 1,009.00 = 185.69 : x
  2. Step 2: Convert to fraction form
    672.65/1,009.00 = 185.69/x
  3. Step 3: Cross multiply
    672.65x = 1,009.00 × 185.69
  4. Step 4: Simplify right side
    672.65x = 187,355.70
  5. Step 5: Solve for x
    x = 187,355.70/672.65
  6. Step 6: Final answer
    x = 278.54

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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.