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Finding the Fourth Proportional to 672.73, 1,009.49 and 282.70

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Solution

The fourth proportional to 672.73, 1,009.49 and 282.70 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.73 : 1,009.49 = 282.70 : x
  2. Step 2: Convert to fraction form
    672.73/1,009.49 = 282.70/x
  3. Step 3: Cross multiply
    672.73x = 1,009.49 × 282.70
  4. Step 4: Simplify right side
    672.73x = 285,381.41
  5. Step 5: Solve for x
    x = 285,381.41/672.73
  6. Step 6: Final answer
    x = 424.21

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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.