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Finding the Fourth Proportional to 672.88, 1,009.34 and 185.94

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Solution

The fourth proportional to 672.88, 1,009.34 and 185.94 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.88 : 1,009.34 = 185.94 : x
  2. Step 2: Convert to fraction form
    672.88/1,009.34 = 185.94/x
  3. Step 3: Cross multiply
    672.88x = 1,009.34 × 185.94
  4. Step 4: Simplify right side
    672.88x = 187,671.63
  5. Step 5: Solve for x
    x = 187,671.63/672.88
  6. Step 6: Final answer
    x = 278.91

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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.