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Finding the Fourth Proportional to 672.66, 1,009.04 and 185.72

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Solution

The fourth proportional to 672.66, 1,009.04 and 185.72 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.66 : 1,009.04 = 185.72 : x
  2. Step 2: Convert to fraction form
    672.66/1,009.04 = 185.72/x
  3. Step 3: Cross multiply
    672.66x = 1,009.04 × 185.72
  4. Step 4: Simplify right side
    672.66x = 187,398.91
  5. Step 5: Solve for x
    x = 187,398.91/672.66
  6. Step 6: Final answer
    x = 278.59

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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.