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Finding the Fourth Proportional to 672.26, 1,006.76 and 466.26

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Solution

The fourth proportional to 672.26, 1,006.76 and 466.26 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.26 : 1,006.76 = 466.26 : x
  2. Step 2: Convert to fraction form
    672.26/1,006.76 = 466.26/x
  3. Step 3: Cross multiply
    672.26x = 1,006.76 × 466.26
  4. Step 4: Simplify right side
    672.26x = 469,411.92
  5. Step 5: Solve for x
    x = 469,411.92/672.26
  6. Step 6: Final answer
    x = 698.26

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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.