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Finding the Fourth Proportional to 672.48, 1,008.22 and 282.60

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Solution

The fourth proportional to 672.48, 1,008.22 and 282.60 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.48 : 1,008.22 = 282.60 : x
  2. Step 2: Convert to fraction form
    672.48/1,008.22 = 282.60/x
  3. Step 3: Cross multiply
    672.48x = 1,008.22 × 282.60
  4. Step 4: Simplify right side
    672.48x = 284,917.93
  5. Step 5: Solve for x
    x = 284,917.93/672.48
  6. Step 6: Final answer
    x = 423.68

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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.