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Finding the Fourth Proportional to 1,466.82, 2,200.52 and 492.92

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Solution

The fourth proportional to 1,466.82, 2,200.52 and 492.92 is: 739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.82 : 2,200.52 = 492.92 : x
  2. Step 2: Convert to fraction form
    1,466.82/2,200.52 = 492.92/x
  3. Step 3: Cross multiply
    1,466.82x = 2,200.52 × 492.92
  4. Step 4: Simplify right side
    1,466.82x = 1,084,680.32
  5. Step 5: Solve for x
    x = 1,084,680.32/1,466.82
  6. Step 6: Final answer
    x = 739.48

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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.