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Finding the Fourth Proportional to 672.18, 1,008.82 and 347.64

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Solution

The fourth proportional to 672.18, 1,008.82 and 347.64 is: 521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.18 : 1,008.82 = 347.64 : x
  2. Step 2: Convert to fraction form
    672.18/1,008.82 = 347.64/x
  3. Step 3: Cross multiply
    672.18x = 1,008.82 × 347.64
  4. Step 4: Simplify right side
    672.18x = 350,706.18
  5. Step 5: Solve for x
    x = 350,706.18/672.18
  6. Step 6: Final answer
    x = 521.74

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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.