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Finding the Fourth Proportional to 1,466.41, 2,200.32 and 644.57

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Solution

The fourth proportional to 1,466.41, 2,200.32 and 644.57 is: 967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.41 : 2,200.32 = 644.57 : x
  2. Step 2: Convert to fraction form
    1,466.41/2,200.32 = 644.57/x
  3. Step 3: Cross multiply
    1,466.41x = 2,200.32 × 644.57
  4. Step 4: Simplify right side
    1,466.41x = 1,418,272.31
  5. Step 5: Solve for x
    x = 1,418,272.31/1,466.41
  6. Step 6: Final answer
    x = 967.17

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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.