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Finding the Fourth Proportional to 672.07, 1,008.41 and 644.74

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Solution

The fourth proportional to 672.07, 1,008.41 and 644.74 is: 967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.07 : 1,008.41 = 644.74 : x
  2. Step 2: Convert to fraction form
    672.07/1,008.41 = 644.74/x
  3. Step 3: Cross multiply
    672.07x = 1,008.41 × 644.74
  4. Step 4: Simplify right side
    672.07x = 650,162.26
  5. Step 5: Solve for x
    x = 650,162.26/672.07
  6. Step 6: Final answer
    x = 967.40

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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.